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Wajib.","2026-10-08T09:24:41.433Z",{"id":297,"subjectId":15,"levelId":55,"parentId":98,"slug":1455,"name":1456,"description":1457,"order":1458,"createdAt":1459,"updatedAt":1459},"matriks","Matriks","Matriks — Kelas 11 Lanjut.",13,"2026-10-08T09:24:41.441Z",{"id":1461,"subjectId":24,"levelId":55,"parentId":98,"slug":1462,"name":1463,"description":1464,"order":1458,"createdAt":1465,"updatedAt":1465},"cmuzbyhhz003k71r9s7s8evk1","rangkaian-pegas","Rangkaian Pegas","Rangkaian Pegas — Kelas 11.","2026-10-08T09:24:41.111Z",{"id":159,"subjectId":24,"levelId":55,"parentId":98,"slug":1467,"name":1468,"description":1469,"order":1470,"createdAt":1471,"updatedAt":1471},"fluida","Fluida","Fluida — Kelas 11.",14,"2026-10-08T09:24:41.113Z",{"id":273,"subjectId":15,"levelId":55,"parentId":98,"slug":1473,"name":1474,"description":1475,"order":1470,"createdAt":1476,"updatedAt":1476},"polinomial","Polinomial","Polinomial — Kelas 11 Lanjut.","2026-10-08T09:24:41.454Z",{"id":189,"subjectId":15,"levelId":55,"parentId":98,"slug":1478,"name":1479,"description":1480,"order":1481,"createdAt":1482,"updatedAt":1482},"fungsi-trigonometri","Fungsi Trigonometri","Fungsi Trigonometri — Kelas 11 Lanjut.",15,"2026-10-08T09:24:41.469Z",{"id":183,"subjectId":24,"levelId":55,"parentId":98,"slug":1484,"name":1485,"description":1486,"order":1481,"createdAt":1487,"updatedAt":1487},"gerak-harmonik-sederhana-ghs","Gerak Harmonik Sederhana (GHS)","Gerak Harmonik Sederhana (GHS) — Kelas 11.","2026-10-08T09:24:41.119Z",{"id":213,"subjectId":24,"levelId":55,"parentId":98,"slug":1489,"name":1490,"description":1491,"order":1492,"createdAt":1493,"updatedAt":1493},"gelombang-mekanik","Gelombang Mekanik","Gelombang Mekanik — Kelas 11.",16,"2026-10-08T09:24:41.132Z",{"id":279,"subjectId":15,"levelId":55,"parentId":98,"slug":1248,"name":1249,"description":1495,"order":1492,"createdAt":1496,"updatedAt":1496},"Vektor — Kelas 11 Lanjut.","2026-10-08T09:24:41.485Z",{"id":135,"subjectId":24,"levelId":55,"parentId":98,"slug":1498,"name":1499,"description":1500,"order":1501,"createdAt":1502,"updatedAt":1502},"gelombang-cahaya","Gelombang Cahaya","Gelombang Cahaya — Kelas 11.",17,"2026-10-08T09:24:41.150Z",{"id":219,"subjectId":15,"levelId":55,"parentId":98,"slug":1504,"name":1505,"description":1506,"order":1501,"createdAt":1507,"updatedAt":1507},"transformasi-geometri","Transformasi Geometri","Transformasi Geometri — Kelas 11 Lanjut.","2026-10-08T09:24:41.498Z",{"id":165,"subjectId":15,"levelId":55,"parentId":98,"slug":1509,"name":1510,"description":1511,"order":1512,"createdAt":1513,"updatedAt":1513},"fungsi-dan-pemodelannya","Fungsi dan Pemodelannya","Fungsi dan Pemodelannya — Kelas 11 Lanjut.",18,"2026-10-08T09:24:41.504Z",{"id":201,"subjectId":24,"levelId":55,"parentId":98,"slug":1515,"name":1516,"description":1517,"order":1512,"createdAt":1518,"updatedAt":1518},"optik","Optik","Optik — Kelas 11.","2026-10-08T09:24:41.161Z",{"id":75,"subjectId":15,"levelId":55,"parentId":98,"slug":1520,"name":83,"description":1521,"order":1522,"createdAt":1523,"updatedAt":1523},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":374,"subjectId":24,"levelId":55,"parentId":98,"slug":1525,"name":1526,"description":1527,"order":1522,"createdAt":1528,"updatedAt":1528},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":105,"subjectId":15,"levelId":55,"parentId":98,"slug":1530,"name":1531,"description":1532,"order":1533,"createdAt":1534,"updatedAt":1534},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":171,"subjectId":24,"levelId":55,"parentId":98,"slug":1536,"name":1537,"description":1538,"order":1533,"createdAt":1539,"updatedAt":1539},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":380,"subjectId":15,"levelId":55,"parentId":98,"slug":1541,"name":1542,"description":1543,"order":1544,"createdAt":1545,"updatedAt":1545},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":398,"subjectId":24,"levelId":55,"parentId":98,"slug":1547,"name":1548,"description":1549,"order":1544,"createdAt":1550,"updatedAt":1550},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":326,"subjectId":15,"levelId":55,"parentId":98,"slug":1552,"name":1553,"description":1554,"order":1555,"createdAt":1556,"updatedAt":1556},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":267,"subjectId":24,"levelId":55,"parentId":98,"slug":1558,"name":1559,"description":1560,"order":1555,"createdAt":1561,"updatedAt":1561},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":237,"subjectId":24,"levelId":55,"parentId":98,"slug":1563,"name":1564,"description":1565,"order":1566,"createdAt":1567,"updatedAt":1567},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":285,"subjectId":15,"levelId":55,"parentId":98,"slug":1569,"name":1418,"description":1570,"order":1566,"createdAt":1571,"updatedAt":1571},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":249,"subjectId":15,"levelId":55,"parentId":98,"slug":1573,"name":1574,"description":1575,"order":1576,"createdAt":1577,"updatedAt":1577},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":243,"subjectId":24,"levelId":55,"parentId":98,"slug":1579,"name":1580,"description":1581,"order":1576,"createdAt":1582,"updatedAt":1582},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":117,"subjectId":15,"levelId":55,"parentId":98,"slug":1584,"name":1585,"description":1586,"order":1587,"createdAt":1588,"updatedAt":1588},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":68,"subjectId":24,"levelId":55,"parentId":98,"slug":1590,"name":1591,"description":1592,"order":1587,"createdAt":1593,"updatedAt":1593},"listrik-ac-arus-bolak-balik","Listrik AC \u002F Arus Bolak Balik","Listrik AC \u002F Arus Bolak Balik — Kelas 12.","2026-10-08T09:24:41.263Z",{"id":308,"subjectId":24,"levelId":55,"parentId":98,"slug":1595,"name":1596,"description":1597,"order":1598,"createdAt":1599,"updatedAt":1599},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":123,"subjectId":15,"levelId":55,"parentId":98,"slug":1601,"name":1602,"description":1603,"order":1598,"createdAt":1604,"updatedAt":1604},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":332,"subjectId":15,"levelId":55,"parentId":98,"slug":1606,"name":1607,"description":1608,"order":1609,"createdAt":1610,"updatedAt":1610},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":362,"subjectId":24,"levelId":55,"parentId":98,"slug":1612,"name":1613,"description":1614,"order":1609,"createdAt":1615,"updatedAt":1615},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":207,"subjectId":15,"levelId":55,"parentId":98,"slug":1617,"name":1618,"description":1619,"order":1620,"createdAt":1621,"updatedAt":1621},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":350,"subjectId":24,"levelId":55,"parentId":98,"slug":1623,"name":1624,"description":1625,"order":1620,"createdAt":1626,"updatedAt":1626},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":356,"subjectId":24,"levelId":55,"parentId":98,"slug":1628,"name":1629,"description":1630,"order":1631,"createdAt":1632,"updatedAt":1632},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":255,"subjectId":15,"levelId":55,"parentId":98,"slug":1634,"name":1635,"description":1636,"order":1631,"createdAt":1637,"updatedAt":1637},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":147,"subjectId":15,"levelId":55,"parentId":98,"slug":1639,"name":1640,"description":1641,"order":1642,"createdAt":1643,"updatedAt":1643},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":291,"subjectId":24,"levelId":55,"parentId":98,"slug":1645,"name":1646,"description":1647,"order":1642,"createdAt":1648,"updatedAt":1648},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1650,"subjectId":15,"levelId":55,"parentId":98,"slug":1651,"name":1652,"description":1653,"order":1654,"createdAt":1655,"updatedAt":1655},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1657,"subjectId":15,"levelId":55,"parentId":98,"slug":1658,"name":1659,"description":1660,"order":1661,"createdAt":1662,"updatedAt":1662},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1664,"subjectId":15,"levelId":55,"parentId":98,"slug":1665,"name":1666,"description":1667,"order":1668,"createdAt":1669,"updatedAt":1669},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1671,"subjectId":15,"levelId":60,"parentId":98,"slug":1672,"name":125,"description":1673,"order":1674,"createdAt":1675,"updatedAt":1675},"demo-v2-topic-matematika-kuliah-1","definisi-turunan-limit","Definisi turunan dengan limit f′(x) = lim [f(x+h) − f(x)]\u002Fh, langkah menghitungnya, gradien garis singgung, syarat diferensiabel, dan contoh soal.",100,"2026-10-14T16:01:44.645Z",{"id":1677,"subjectId":15,"levelId":55,"parentId":98,"slug":1678,"name":1679,"description":1680,"order":1674,"createdAt":1681,"updatedAt":1681},"demo-v2-topic-matematika-sma-1","fungsi-kuadrat","Fungsi Kuadrat","Fungsi kuadrat f(x) = ax² + bx + c: pengaruh a, b, c pada grafik, rumus titik puncak, sumbu simetri, diskriminan, dan contoh soal nilai maksimum.","2026-10-14T16:01:44.503Z",{"id":1683,"subjectId":33,"levelId":55,"parentId":98,"slug":1684,"name":1685,"description":1686,"order":1674,"createdAt":1687,"updatedAt":1687},"demo-v2-topic-pemrograman-sma-1","fungsi-python-def-return","Fungsi Python","Pelajari cara membuat fungsi Python dengan def, parameter, nilai default, dan return, plus perbedaan return dan print lewat contoh program yang jelas.","2026-10-14T16:01:45.616Z",{"id":1689,"subjectId":24,"levelId":49,"parentId":98,"slug":1690,"name":1691,"description":1692,"order":1674,"createdAt":1693,"updatedAt":1693},"demo-v2-topic-fisika-smp-1","glb-dan-glbb","GLB dan GLBB","Rumus GLB dan GLBB lengkap: jarak, kecepatan, percepatan, grafik posisi–waktu, perbedaan GLB dan GLBB, plus contoh soal gerak lurus dan pembahasannya.","2026-10-14T16:01:44.924Z",{"id":1695,"subjectId":24,"levelId":60,"parentId":98,"slug":1696,"name":1697,"description":1698,"order":1674,"createdAt":1699,"updatedAt":1699},"demo-v2-topic-fisika-kuliah-1","gerak-harmonik-sederhana","Gerak Harmonik Sederhana","Gerak harmonik sederhana untuk fisika dasar: persamaan x = A cos(ωt + φ), kecepatan, percepatan, periode pegas dan bandul, energi, serta contoh soal.","2026-10-14T16:01:45.223Z",{"id":1701,"subjectId":24,"levelId":55,"parentId":98,"slug":1702,"name":1703,"description":1704,"order":1674,"createdAt":1705,"updatedAt":1705},"demo-v2-topic-fisika-sma-1","hukum-newton-2","Hukum Newton 2","Hukum Newton 2: bunyi, rumus ΣF = m·a, diagram gaya, gaya gesek statis dan kinetis, serta contoh soal mencari percepatan dan massa beserta pembahasan.","2026-10-14T16:01:45.084Z",{"id":1707,"subjectId":33,"levelId":60,"parentId":98,"slug":1708,"name":1709,"description":1710,"order":1674,"createdAt":1711,"updatedAt":1711},"demo-v2-topic-pemrograman-kuliah-1","notasi-big-o-kompleksitas-waktu","Notasi Big O","Pahami notasi Big O dan kompleksitas waktu algoritma: O(1), O(log n), O(n), O(n²), cara menghitungnya dari kode Python, dan contoh soalnya.","2026-10-14T16:01:45.769Z",{"id":1713,"subjectId":33,"levelId":43,"parentId":98,"slug":1714,"name":1715,"description":1716,"order":1674,"createdAt":1717,"updatedAt":1717},"demo-v2-topic-pemrograman-sd-1","pengertian-algoritma","Pengertian Algoritma","Algoritma adalah langkah-langkah urut untuk menyelesaikan masalah. Pelajari pengertian, ciri, dan contoh algoritma sehari-hari untuk siswa SD.","2026-10-14T16:01:45.355Z",{"id":1719,"subjectId":24,"levelId":43,"parentId":98,"slug":1720,"name":1721,"description":1722,"order":1674,"createdAt":1723,"updatedAt":1723},"demo-v2-topic-fisika-sd-1","pengukuran-panjang","Pengukuran Panjang","Belajar pengukuran panjang untuk SD: satuan baku, alat ukur panjang, cara memakai penggaris, dan tangga satuan panjang km sampai mm + contoh soal.","2026-10-14T16:01:44.803Z",{"id":1725,"subjectId":15,"levelId":43,"parentId":98,"slug":1726,"name":1727,"description":1728,"order":1674,"createdAt":1729,"updatedAt":1729},"demo-v2-topic-matematika-sd-1","penjumlahan-pecahan","Penjumlahan Pecahan","Cara penjumlahan pecahan berpenyebut sama dan beda penyebut memakai KPK, pecahan senilai, dan pecahan campuran, lengkap dengan contoh soal SD.","2026-10-14T16:01:44.034Z",{"id":1731,"subjectId":15,"levelId":49,"parentId":98,"slug":1732,"name":1733,"description":1734,"order":1674,"createdAt":1735,"updatedAt":1735},"demo-v2-topic-matematika-smp-1","teorema-pythagoras","Teorema Pythagoras","Teorema Pythagoras a² + b² = c² untuk mencari sisi miring dan sisi siku-siku, tripel Pythagoras, diagonal ruang balok, dan contoh soal kelas 8.","2026-10-14T16:01:44.305Z",{"id":1737,"subjectId":33,"levelId":49,"parentId":98,"slug":1738,"name":1739,"description":1740,"order":1674,"createdAt":1741,"updatedAt":1741},"demo-v2-topic-pemrograman-smp-1","variabel-dan-tipe-data-python","Variabel dan Tipe Data Python","Belajar variabel dan tipe data Python dari nol: int, float, string, boolean, operator, print, dan input, lengkap dengan contoh program dan latihan.","2026-10-14T16:01:45.472Z",{"id":1743,"subjectId":33,"levelId":60,"parentId":98,"slug":1744,"name":1745,"description":1746,"order":1747,"createdAt":1748,"updatedAt":1748},"demo-v2-topic-pemrograman-kuliah-2","class-dan-object-python","Class dan Object Python","Pelajari class dan object Python untuk OOP: __init__, self, atribut, method, inheritance, dan invarian objek lewat contoh program dompet digital.",101,"2026-10-14T16:01:45.800Z",{"id":1750,"subjectId":15,"levelId":55,"parentId":98,"slug":1751,"name":1752,"description":1753,"order":1747,"createdAt":1754,"updatedAt":1754},"demo-v2-topic-matematika-sma-2","eksponen-dan-logaritma","Eksponen dan Logaritma","Materi eksponen dan logaritma kelas 10: sifat-sifat eksponen, definisi dan sifat logaritma, persamaan eksponen dan logaritma, serta contoh soal.","2026-10-14T16:01:44.555Z",{"id":1756,"subjectId":24,"levelId":43,"parentId":98,"slug":1757,"name":1758,"description":1759,"order":1747,"createdAt":1760,"updatedAt":1760},"demo-v2-topic-fisika-sd-2","macam-macam-gaya","Gaya dan Macam-Macamnya","Gaya adalah tarikan atau dorongan. Pelajari macam-macam gaya (otot, gravitasi, magnet, gesek, pegas), pengaruhnya pada benda, dan contoh soalnya.","2026-10-14T16:01:44.840Z",{"id":1762,"subjectId":15,"levelId":43,"parentId":98,"slug":1763,"name":1764,"description":1765,"order":1747,"createdAt":1766,"updatedAt":1766},"demo-v2-topic-matematika-sd-2","rumus-keliling-dan-luas-bangun-datar","Keliling dan Luas Bangun Datar","Rumus keliling dan luas bangun datar: persegi, persegi panjang, segitiga, jajargenjang, trapesium, dan lingkaran, dengan cara mudah dan contoh soal.","2026-10-14T16:01:44.140Z",{"id":1768,"subjectId":33,"levelId":55,"parentId":98,"slug":1769,"name":1770,"description":1771,"order":1747,"createdAt":1772,"updatedAt":1772},"demo-v2-topic-pemrograman-sma-2","list-dan-dictionary-python","List dan Dictionary Python","Pahami list dan dictionary Python: indeks, append, key-value, get, dan perulangan, plus perbedaan keduanya lewat contoh pengolahan data nilai siswa.","2026-10-14T16:01:45.659Z",{"id":1774,"subjectId":24,"levelId":49,"parentId":98,"slug":1775,"name":1776,"description":1777,"order":1747,"createdAt":1778,"updatedAt":1778},"demo-v2-topic-fisika-smp-2","rumus-massa-jenis","Massa Jenis","Rumus massa jenis ρ = m\u002FV lengkap dengan satuan kg\u002Fm³ dan g\u002Fcm³, tabel massa jenis air, besi, dan minyak, cara menghitung, serta contoh soal pembahasan.","2026-10-14T16:01:44.967Z",{"id":1780,"subjectId":33,"levelId":49,"parentId":98,"slug":1781,"name":1782,"description":1783,"order":1747,"createdAt":1784,"updatedAt":1784},"demo-v2-topic-pemrograman-smp-2","percabangan-python-if-else","Percabangan Python","Pelajari percabangan Python dengan if, elif, dan else: operator perbandingan, operator logika, dan contoh program nilai rapor lengkap dengan outputnya.","2026-10-14T16:01:45.518Z",{"id":1786,"subjectId":33,"levelId":43,"parentId":98,"slug":1787,"name":1788,"description":1789,"order":1747,"createdAt":1790,"updatedAt":1790},"demo-v2-topic-pemrograman-sd-2","percabangan-dalam-algoritma","Percabangan dalam Algoritma","Percabangan dalam algoritma memilih tindakan berdasarkan syarat jika-maka. Pelajari pengertian, contoh sehari-hari, dan simbol flowchart-nya.","2026-10-14T16:01:45.408Z",{"id":1792,"subjectId":15,"levelId":49,"parentId":98,"slug":1793,"name":1794,"description":1795,"order":1747,"createdAt":1796,"updatedAt":1796},"demo-v2-topic-matematika-smp-2","persamaan-garis-lurus","Persamaan Garis Lurus","Persamaan garis lurus y = mx + c, rumus gradien dari dua titik, garis sejajar dan tegak lurus, cara menggambar grafik, serta contoh soal kelas 8.","2026-10-14T16:01:44.363Z",{"id":1798,"subjectId":24,"levelId":60,"parentId":98,"slug":1799,"name":1800,"description":1801,"order":1747,"createdAt":1802,"updatedAt":1802},"demo-v2-topic-fisika-kuliah-2","usaha-oleh-gaya-berubah","Usaha Gaya Berubah","Usaha oleh gaya berubah dengan integral W = ∫F dx, rumus usaha W = F·s sebagai dot product, usaha pegas, dan teorema usaha–energi, plus contoh soal.","2026-10-14T16:01:45.258Z",{"id":1804,"subjectId":15,"levelId":55,"parentId":98,"slug":1805,"name":1806,"description":1807,"order":1808,"createdAt":1809,"updatedAt":1809},"demo-v2-topic-matematika-sma-3","rumus-peluang","Peluang Kejadian","Rumus peluang P(A) = n(A)\u002Fn(S), ruang sampel, peluang komplemen, frekuensi harapan, kejadian saling lepas dan saling bebas, plus contoh soal dadu dan koin.",102,"2026-10-14T16:01:44.588Z",{"id":1811,"subjectId":33,"levelId":55,"parentId":98,"slug":1812,"name":1813,"description":1814,"order":1808,"createdAt":1815,"updatedAt":1815},"demo-v2-topic-pemrograman-sma-3","pencarian-linear-dan-biner","Pencarian Linear dan Biner","Pelajari pencarian linear dan pencarian biner (binary search): cara kerja, syarat data terurut, kode Python, dan perbandingan jumlah langkahnya.","2026-10-14T16:01:45.700Z",{"id":1817,"subjectId":33,"levelId":49,"parentId":98,"slug":1818,"name":1819,"description":1820,"order":1808,"createdAt":1821,"updatedAt":1821},"demo-v2-topic-pemrograman-smp-3","perulangan-python-for-while","Perulangan Python","Pelajari perulangan Python dengan for, range(), dan while, lengkap dengan contoh program menghitung total, break, continue, dan latihan soal.","2026-10-14T16:01:45.560Z",{"id":1823,"subjectId":33,"levelId":43,"parentId":98,"slug":1824,"name":1825,"description":1826,"order":1808,"createdAt":1827,"updatedAt":1827},"demo-v2-topic-pemrograman-sd-3","perulangan-dalam-algoritma","Perulangan dalam Algoritma","Perulangan dalam algoritma mengulang langkah yang sama beberapa kali. Pelajari pengertian, contoh perulangan sehari-hari, dan cara menghitung hasilnya.","2026-10-14T16:01:45.436Z",{"id":1829,"subjectId":15,"levelId":49,"parentId":98,"slug":1830,"name":1831,"description":1832,"order":1808,"createdAt":1833,"updatedAt":1833},"demo-v2-topic-matematika-smp-3","rumus-prisma-dan-limas","Prisma dan Limas","Rumus volume prisma dan limas, luas permukaan, sifat sisi-rusuk-titik sudut, jaring-jaring, limas 3D interaktif, dan contoh soal bangun ruang sisi datar.","2026-10-14T16:01:44.400Z",{"id":1835,"subjectId":33,"levelId":60,"parentId":98,"slug":1836,"name":1837,"description":1838,"order":1808,"createdAt":1839,"updatedAt":1839},"demo-v2-topic-pemrograman-kuliah-3","unit-test-python","Unit Test Python","Pelajari unit test Python dengan modul unittest: assertEqual, assertRaises, nilai batas, dan cara menjalankan tes, lengkap dengan contoh dan versi pytest.","2026-10-14T16:01:45.832Z",{"id":1841,"subjectId":15,"levelId":60,"parentId":98,"slug":1842,"name":1843,"description":1844,"order":1808,"createdAt":1845,"updatedAt":1845},"demo-v2-topic-matematika-kuliah-3","vektor-3-dimensi-dot-product","Vektor 3D dan Dot Product","Vektor 3 dimensi: komponen, panjang vektor, vektor satuan, dot product atau perkalian titik, sudut antara dua vektor, proyeksi, dan contoh soal.","2026-10-14T16:01:44.715Z",{"id":1847,"subjectId":15,"levelId":43,"parentId":98,"slug":1848,"name":1849,"description":1850,"order":1808,"createdAt":1851,"updatedAt":1851},"demo-v2-topic-matematika-sd-3","rumus-volume-kubus","Volume dan Luas Permukaan Kubus","Rumus volume kubus V = s³ dan luas permukaan kubus L = 6s², sifat kubus, jaring-jaring, kubus 3D interaktif, dan contoh soal bertingkat.","2026-10-14T16:01:44.189Z",{"id":1853,"subjectId":15,"levelId":49,"parentId":98,"slug":1854,"name":1855,"description":1856,"order":1857,"createdAt":1858,"updatedAt":1858},"demo-v2-topic-matematika-smp-4","rumus-tabung-dan-kerucut","Tabung dan Kerucut","Rumus volume tabung dan kerucut, luas permukaan, garis pelukis, jaring-jaring berupa persegi panjang dan juring, kerucut 3D interaktif, dan contoh soal.",103,"2026-10-14T16:01:44.438Z",{"id":1860,"subjectId":33,"levelId":55,"parentId":98,"slug":1861,"name":1862,"description":1863,"order":1857,"createdAt":1864,"updatedAt":1864},"demo-v2-topic-pemrograman-sma-4","try-except-python","Try Except dan Membaca File","Pelajari try except Python untuk menangani error seperti ValueError dan FileNotFoundError, serta cara membaca dan menulis file txt dengan with open.","2026-10-14T16:01:45.731Z",{"id":1866,"subjectId":15,"levelId":43,"parentId":98,"slug":1867,"name":1868,"description":1869,"order":1857,"createdAt":1870,"updatedAt":1870},"demo-v2-topic-matematika-sd-4","rumus-volume-balok","Volume dan Luas Permukaan Balok","Rumus volume balok V = p × l × t dan luas permukaan balok L = 2(pl + pt + lt), sifat balok, jaring-jaring, balok 3D interaktif, dan contoh soal.","2026-10-14T16:01:44.239Z",[1872,1875,1880,1885],{"id":1873,"slug":25,"name":26,"createdAt":1874},"cmvogd3r1000607tdh34zf0vv","2026-10-25T23:22:15.997Z",{"id":1876,"slug":1877,"name":1878,"createdAt":1879},"cmvogctp7000507tdmugcad1g","fisika-statistik","Fisika Statistik","2026-10-25T23:22:02.971Z",{"id":1881,"slug":1882,"name":1883,"createdAt":1884},"cmvhrhrvm00027m1risodrm04","onmipa","ONMIPA","2026-10-21T06:59:26.435Z",{"id":1886,"slug":1887,"name":1887,"createdAt":1888},"cmvhrhm2s00017m1rpjm53zrv","tag","2026-10-21T06:59:18.917Z",[1890],{"code":1891,"nativeName":1892,"isDefault":5},"id","Bahasa Indonesia",{"id":1894,"type":1895,"slug":1896,"title":1897,"excerpt":1898,"coverUrl":98,"status":1899,"publishedAt":1900,"featured":4,"subjectId":15,"blocks":1901,"seoTitle":98,"seoDescription":98,"readingMinutes":1414,"order":21,"hiddenFromOthers":4,"createdAt":1988,"updatedAt":1989,"subject":1990,"levels":1991,"topics":1994,"tags":1995,"lang":1891,"alternates":1996,"author":1998,"resolved":2003,"related":2007,"sequence":98},"cmvry76fb000c07s28zwl0iv1","ARTICLE","matematika-pace-lari-rekor-maraton-sub-2-jam","Matematika di Balik Pace Lari dan Rekor Maraton Sub-2 Jam","Kenapa pace 6:00\u002Fkm sama dengan 10 km\u002Fjam? Bedah matematika dan fisika lari: rumus pace, prediksi Riegel, hambatan udara, dan kode Python-nya.","PUBLISHED","2026-10-28T10:09:04.009Z",[1902,1907,1911,1918,1922,1926,1930,1934,1939,1943,1949,1953,1957,1962,1966,1970,1976,1980,1984],{"id":1903,"data":1904,"type":1906},"ai88c22da81f",{"markdown":1905},"**Pace lari** adalah waktu yang kamu butuhkan untuk menempuh satu kilometer, misalnya 6:00\u002Fkm artinya 6 menit per kilometer. Kedengarannya sepele, tapi di balik angka yang sering dipamerkan di aplikasi lari itu ada matematika dan fisika yang sama persis dengan yang kamu pelajari di bab gerak lurus: kecepatan, perbandingan, pangkat, sampai gaya hambat udara.\n\nDan momennya pas banget. Menurut catatan Kementerian Pemuda dan Olahraga yang dikutip ANTARA, sepanjang 2025 ada lebih dari 550 event lari di Indonesia. Di level dunia, 26 April 2026 jadi hari bersejarah: Sabastian Sawe dari Kenya menang di London Marathon dengan waktu **1:59:30**, maraton resmi pertama di bawah dua jam. Yuk kita bedah angka-angka itu satu per satu.","text",{"id":1908,"data":1909,"type":1906},"aid1b3bcb4a8",{"markdown":1910},"## Pace vs Kecepatan: Dua Cara Melihat Hal yang Sama\n\nDi pelajaran fisika, kita biasa memakai **kecepatan** (jarak dibagi waktu). Pelari justru lebih suka **pace** (waktu dibagi jarak). Keduanya saling berkebalikan.",{"id":1912,"data":1913,"type":1917},"aif13905656d",{"title":1914,"variant":1915,"markdown":1916},"Hubungan pace dan kecepatan","info","$$v = \\frac{s}{t} \\qquad \\text{pace} = \\frac{t}{s} = \\frac{1}{v}$$\n\n- $v$ = kecepatan rata-rata (km\u002Fjam atau m\u002Fs)\n- $s$ = jarak tempuh (km)\n- $t$ = waktu tempuh (menit atau jam)\n\nTrik cepat: $v\\ (\\text{km\u002Fjam}) = \\dfrac{60}{\\text{pace (menit\u002Fkm)}}$","callout",{"id":1919,"data":1920,"type":1906},"ai07b271f23e",{"markdown":1921},"Kenapa pelari suka pace? Karena lebih praktis saat lomba. Kalau target 10K kamu 55 menit, kamu cukup menjaga setiap kilometer di 5:30. Tinggal lirik jam tangan tiap kilometer, beres.\n\n| Pace (menit\u002Fkm) | Kecepatan (km\u002Fjam) | Waktu 5K | Waktu 10K |\n|---|---|---|---|\n| 8:00 | 7,5 | 40:00 | 1:20:00 |\n| 7:00 | ≈ 8,6 | 35:00 | 1:10:00 |\n| 6:00 | 10,0 | 30:00 | 1:00:00 |\n| 5:00 | 12,0 | 25:00 | 50:00 |\n| 2:50 (rekor dunia maraton) | ≈ 21,2 | ≈ 14:10 | ≈ 28:20 |\n\nPerhatikan baris terakhir. Pace rekor dunia maraton itu sekitar 2:50\u002Fkm, dan harus dijaga selama 42,195 km. Banyak orang butuh lari sprint habis-habisan untuk bisa menyentuh pace segitu, walau cuma 100 meter.",{"id":1923,"data":1924,"type":1906},"aibd7c104aa5",{"markdown":1925},"## Contoh Soal Pace dan Pembahasan\n\n### Contoh 1: Mengubah pace menjadi kecepatan\n\nRaka lari dengan pace 6:00\u002Fkm. Berapa kecepatannya dalam km\u002Fjam dan m\u002Fs?\n\n$$v = \\frac{60}{6} = 10\\ \\text{km\u002Fjam}$$\n\n$$v = \\frac{10.000\\ \\text{m}}{3.600\\ \\text{s}} \\approx 2{,}78\\ \\text{m\u002Fs}$$\n\nCek: dengan kecepatan 10 km\u002Fjam, dalam 1 jam Raka menempuh 10 km. Kalau tiap kilometer butuh 6 menit, maka 10 km butuh $10 \\times 6 = 60$ menit = 1 jam. Cocok.\n\n### Contoh 2: Pace rata-rata rekor dunia Sawe\n\nWaktu Sawe 1:59:30 = 7.170 detik untuk jarak 42,195 km.\n\n$$\\text{pace} = \\frac{7.170\\ \\text{s}}{42{,}195\\ \\text{km}} \\approx 169{,}9\\ \\text{s\u002Fkm} \\approx 2{:}50\\ \\text{per km}$$\n\n$$v = \\frac{42.195\\ \\text{m}}{7.170\\ \\text{s}} \\approx 5{,}88\\ \\text{m\u002Fs} \\approx 21{,}2\\ \\text{km\u002Fjam}$$\n\nCek: $5{,}88\\ \\text{m\u002Fs} \\times 3{,}6 \\approx 21{,}2\\ \\text{km\u002Fjam}$, dan $21{,}2\\ \\text{km\u002Fjam} \\times 1{,}99\\ \\text{jam} \\approx 42{,}2\\ \\text{km}$. Konsisten.",{"id":1927,"data":1928,"type":1906},"ai649727bc59",{"markdown":1929},"## Negative Split: Rahasia Lari Makin Cepat di Akhir\n\nMenurut laporan resmi World Athletics, Sawe melewati titik setengah maraton di 1:00:29, lalu menyelesaikan paruh kedua dalam **59:01**. Artinya paruh kedua lebih cepat daripada paruh pertama. Strategi ini disebut **negative split**.\n\n$$1{:}00{:}29 - 59{:}01 = 3.629\\ \\text{s} - 3.541\\ \\text{s} = 88\\ \\text{s}$$\n\nKalau dihitung per kilometer (setengah maraton = 21,0975 km):\n\n| Bagian lomba | Waktu | Pace rata-rata |\n|---|---|---|\n| Paruh pertama | 1:00:29 | ≈ 2:52\u002Fkm |\n| Paruh kedua | 59:01 | ≈ 2:48\u002Fkm |\n\nCek: $3.629 + 3.541 = 7.170$ detik = 1:59:30, persis waktu finis Sawe.\n\nPelajaran buat pelari biasa: start terlalu ngebut sering bikin \"habis bensin\" di akhir. Mulai sedikit lebih lambat dari target, lalu naikkan pelan-pelan, biasanya lebih aman.",{"id":1931,"data":1932,"type":1906},"ai41a17a1b96",{"markdown":1933},"## Rumus Riegel: Memprediksi Waktu Lomba dengan Pangkat\n\nPernah lihat aplikasi yang bilang, \"Dari hasil 5K kamu, prediksi maratonmu sekian\"? Banyak kalkulator semacam itu memakai rumus dari Peter Riegel, seorang insinyur riset asal Amerika Serikat. Ia memperkenalkannya lewat majalah *Runner's World* pada 1977 dan mengembangkannya di jurnal *American Scientist* pada 1981.",{"id":1935,"data":1936,"type":1917},"aic16c74a00f",{"title":1937,"variant":1915,"markdown":1938},"Rumus Riegel","$$T_2 = T_1 \\left(\\frac{D_2}{D_1}\\right)^{1{,}06}$$\n\n- $T_1$ = waktu yang sudah kamu capai di jarak $D_1$\n- $D_2$ = jarak yang ingin diprediksi\n- $T_2$ = prediksi waktu untuk jarak $D_2$\n- $1{,}06$ = faktor kelelahan (eksponen)",{"id":1940,"data":1941,"type":1906},"ai06c54d1e64",{"markdown":1942},"Kenapa eksponennya 1,06 dan bukan 1? Kalau eksponennya 1, artinya kamu bisa mempertahankan kecepatan yang sama berapa pun jaraknya, dan itu jelas tidak realistis. Angka sedikit di atas 1 berarti makin jauh jaraknya, makin turun kecepatanmu. Dengan eksponen 1,06, setiap jarak digandakan, kecepatan rata-rata turun sekitar 4%:\n\n$$\\frac{v_2}{v_1} = \\frac{D_2\u002FT_2}{D_1\u002FT_1} = 2^{-0{,}06} \\approx 0{,}959$$\n\nMenurut Riegel, rumus ini berlaku untuk aktivitas ketahanan yang berlangsung sekitar 3,5 sampai 230 menit. Di luar rentang itu, akurasinya turun.\n\n### Contoh 3: Dari 5K ke 10K\n\nKamu menyelesaikan 5K dalam 30 menit. Berapa prediksi waktu 10K-mu?\n\n$$T_2 = 30 \\times \\left(\\frac{10}{5}\\right)^{1{,}06} = 30 \\times 2^{1{,}06} \\approx 30 \\times 2{,}085 \\approx 62{,}55\\ \\text{menit}$$\n\nJadi prediksinya sekitar **1:02:33**, dengan pace sekitar 6:15\u002Fkm.\n\nCek: kecepatan 5K = $5\u002F30 \\times 60 = 10$ km\u002Fjam. Kecepatan 10K = $10\u002F62{,}55 \\times 60 \\approx 9{,}59$ km\u002Fjam. Rasio $9{,}59\u002F10 \\approx 0{,}959$, sama dengan $2^{-0{,}06}$ di atas.\n\nDengan cara yang sama, dari 5K 30 menit didapat prediksi half marathon sekitar 2:18:00 dan full marathon sekitar 4:47:44.",{"id":1944,"data":1945,"type":1917},"aifef5a408f3",{"title":1946,"variant":1947,"markdown":1948},"Rumus bukan ramalan","warning","Rumus Riegel menganggap kamu sudah berlatih untuk jarak target. Pelari 5K yang belum pernah latihan lari jauh hampir pasti lebih lambat dari prediksi maraton. Cuaca, rute menanjak, dan kondisi badan juga berpengaruh. Anggap hasilnya sebagai patokan kasar, bukan target wajib.",{"id":1950,"data":1951,"type":1906},"aicea1ce0a97",{"markdown":1952},"Bonus untuk anak SMA: kalau kedua ruas diberi logaritma, rumus Riegel berubah jadi persamaan garis lurus, $\\ln T = \\ln k + 1{,}06 \\ln D$. Itu sebabnya data rekor lari sering digambar di grafik log-log: titik-titiknya membentuk garis yang hampir lurus.",{"id":1954,"data":1955,"type":1906},"ai3d5a69b2e8",{"markdown":1956},"## Fisika Lari: Kenapa Udara Jadi Musuh di Kecepatan Tinggi\n\nSaat berlari, kamu \"menabrak\" udara di depanmu. Gaya hambat udara (*drag*) untuk benda yang bergerak cukup cepat di udara mengikuti persamaan:",{"id":1958,"data":1959,"type":1917},"ai592a34d64a",{"title":1960,"variant":1915,"markdown":1961},"Gaya hambat udara","$$F_D = \\tfrac{1}{2}\\, C\\, \\rho\\, A\\, v^2$$\n\n- $F_D$ = gaya hambat (N)\n- $C$ = koefisien hambat (tergantung bentuk benda)\n- $\\rho$ = massa jenis udara (kg\u002Fm³)\n- $A$ = luas penampang yang menghadap aliran udara (m²)\n- $v$ = kecepatan relatif terhadap udara (m\u002Fs)",{"id":1963,"data":1964,"type":1906},"aia70a2632da",{"markdown":1965},"Bagian terpenting ada di $v^2$. Kecepatan naik 2 kali lipat, gaya hambatnya naik 4 kali lipat. Ini sejalan dengan eksperimen klasik fisiolog L.G. Pugh yang terbit di *The Journal of Physiology* pada 1971: konsumsi oksigen pelari yang melawan angin naik sebanding dengan kuadrat kecepatan angin.\n\n### Contoh 4: Pelari santai vs pelari elite\n\nAnggap dua orang dengan bentuk badan sama ($C$, $\\rho$, $A$ sama). Satu lari 10 km\u002Fjam, satu lagi lari di kecepatan rekor dunia, sekitar 21,2 km\u002Fjam. Berapa kali lebih besar gaya hambat yang dirasakan pelari kedua?\n\n$$\\frac{F_2}{F_1} = \\left(\\frac{v_2}{v_1}\\right)^2 = \\left(\\frac{21{,}2}{10}\\right)^2 \\approx 4{,}5$$\n\nCek: $2{,}12 \\times 2{,}12 = 4{,}4944 \\approx 4{,}5$. Jadi kecepatannya cuma sekitar dua kali, tapi hambatan udaranya sekitar empat setengah kali.\n\nSeberapa besar pengaruh hambatan udara terhadap total energi lari? Pugh memperkirakan, pada lari di lintasan, biaya energi untuk melawan udara bisa sekitar 7,5% dari total pada kecepatan lari jarak menengah dan 13% pada kecepatan sprint. Ia juga mendapati bahwa berlari sekitar 1 meter di belakang pelari lain hampir menghilangkan hambatan udara dan menurunkan konsumsi oksigen sekitar 6,5% pada kecepatan jarak menengah.\n\nInilah fisika di balik *drafting*, alasan pelari elite sering berlari berkelompok atau di belakang *pacemaker*. Peneliti biomekanika Wouter Hoogkamer dan rekan menghitung pada 2017 bahwa maraton di bawah 2 jam membutuhkan kecepatan rata-rata 5,86 m\u002Fs, dan itu bisa dicapai jika biaya metabolik lari berkurang sekitar 2,7%. Lewat strategi seperti drafting dan sepatu yang lebih ringan, mereka menyimpulkan batas 2 jam secara teori bisa ditembus. Sembilan tahun kemudian, Sawe membuktikannya di lomba resmi.\n\nCek angka 5,86 m\u002Fs: $42.195\\ \\text{m} \\div 7.200\\ \\text{s} \\approx 5{,}86\\ \\text{m\u002Fs}$. Tepat, karena 2 jam = 7.200 detik.",{"id":1967,"data":1968,"type":1906},"aie34ec764c8",{"markdown":1969},"## Bikin Kalkulator Pace Sendiri dengan Python\n\nDaripada hitung manual terus, kita bisa menulis program kecil. Kode di bawah ini menghitung pace, mengecek negative split, dan memprediksi waktu dengan rumus Riegel.\n\n~~~python\ndef ke_detik(waktu):\n    \"\"\"Ubah 'jam:menit:detik' atau 'menit:detik' menjadi detik.\"\"\"\n    bagian = [int(x) for x in waktu.split(\":\")]\n    detik = 0\n    for b in bagian:\n        detik = detik * 60 + b\n    return detik\n\ndef ke_format(detik):\n    \"\"\"Ubah detik menjadi teks 'j:mm:ss'.\"\"\"\n    detik = round(detik)\n    j, sisa = divmod(detik, 3600)\n    m, s = divmod(sisa, 60)\n    return f\"{j}:{m:02d}:{s:02d}\"\n\ndef hitung_pace(waktu, jarak_km):\n    \"\"\"Pace dalam menit:detik per km.\"\"\"\n    p = ke_detik(waktu) \u002F jarak_km\n    m, s = divmod(round(p), 60)\n    return f\"{m}:{s:02d} \u002Fkm\"\n\ndef prediksi_riegel(waktu, jarak_lama, jarak_baru, b=1.06):\n    \"\"\"Prediksi waktu dengan rumus Riegel T2 = T1 (D2\u002FD1)^b.\"\"\"\n    t2 = ke_detik(waktu) * (jarak_baru \u002F jarak_lama) ** b\n    return ke_format(t2)\n\nprint(\"Pace rekor dunia:\", hitung_pace(\"1:59:30\", 42.195))  # rekor Sawe\n\nparuh1, paruh2 = ke_detik(\"1:00:29\"), ke_detik(\"59:01\")  # dua paruh lomba\nprint(\"Paruh 2 lebih cepat\", paruh1 - paruh2, \"detik\")\n\nfor nama, jarak in [(\"10K\", 10), (\"Half\", 21.0975), (\"Full\", 42.195)]:\n    print(nama, prediksi_riegel(\"30:00\", 5, jarak))  # dari 5K 30 menit\n~~~\n\nOutput-nya:\n\n~~~\nPace rekor dunia: 2:50 \u002Fkm\nParuh 2 lebih cepat 88 detik\n10K 1:02:33\nHalf 2:18:00\nFull 4:47:44\n~~~\n\nCara kerja singkatnya:\n\n- `ke_detik` memecah teks waktu dengan `split(\":\")`, lalu tiap bagian dikali 60 dan dijumlahkan. Jadi \"1:59:30\" menjadi $(1 \\times 60 + 59) \\times 60 + 30 = 7.170$ detik.\n- `divmod(a, b)` mengembalikan hasil bagi dan sisa sekaligus, pas untuk memecah detik menjadi jam, menit, dan detik.\n- Operator `**` di Python adalah pangkat, jadi `(jarak_baru \u002F jarak_lama) ** b` sama dengan $\\left(\\frac{D_2}{D_1}\\right)^{1{,}06}$.\n\nCoba ganti `\"30:00\"` dengan waktu 5K kamu sendiri, atau ubah `b=1.06` menjadi angka lain untuk melihat seberapa sensitif prediksinya.",{"id":1971,"data":1972,"type":1917},"ai564c193051",{"title":1973,"variant":1974,"markdown":1975},"Ide pengembangan","tip","Tambahkan `input()` supaya pengguna bisa mengetik waktu sendiri, atau buat tabel pace untuk berbagai target waktu memakai perulangan `for`. Dua latihan kecil ini cocok banget untuk mengasah dasar Python.",{"id":1977,"data":1978,"type":1906},"ai6022fa6051",{"markdown":1979},"## Ringkasan\n\n- **Pace** = waktu per kilometer, kebalikan dari kecepatan. Rumus cepatnya: km\u002Fjam = 60 ÷ pace (menit\u002Fkm).\n- Rekor dunia maraton Sabastian Sawe, 1:59:30 di London Marathon 2026, setara pace sekitar 2:50\u002Fkm atau 21,2 km\u002Fjam.\n- Sawe memakai **negative split**: paruh kedua 59:01, sekitar 88 detik lebih cepat dari paruh pertama.\n- **Rumus Riegel** $T_2 = T_1 (D_2\u002FD_1)^{1{,}06}$ memprediksi waktu lomba; tiap jarak digandakan, kecepatan turun sekitar 4%.\n- Gaya hambat udara sebanding dengan $v^2$, jadi makin cepat kamu lari, makin besar peran udara. Itulah alasan drafting efektif.\n- Semua perhitungan ini bisa diotomatiskan dengan beberapa baris Python.",{"id":1981,"data":1982,"type":1906},"ai4caf1dd17e",{"markdown":1983},"## Materi Terkait\n\n- [GLB dan GLBB](\u002Fmateri\u002Fglb-dan-glbb): dasar kecepatan, jarak, dan waktu yang dipakai untuk menghitung pace.\n- [Eksponen dan Logaritma](\u002Fmateri\u002Feksponen-dan-logaritma): bekal untuk memahami pangkat 1,06 dan grafik log-log rumus Riegel.\n- [Hukum Newton 2](\u002Fmateri\u002Fhukum-newton-2): memahami bagaimana gaya, termasuk gaya hambat udara, memengaruhi gerak.\n- [Fungsi Python: def, Parameter, dan return](\u002Fmateri\u002Ffungsi-python-def-return): penjelasan lengkap cara membuat fungsi seperti `hitung_pace`.\n- [Perulangan Python: For dan While](\u002Fmateri\u002Fperulangan-python-for-while): untuk membuat tabel pace otomatis.\n- [10 Contoh Program Python Sederhana](\u002Fartikel\u002Fcontoh-program-python-sederhana): ide program lain untuk latihan setelah kalkulator pace.",{"id":1985,"data":1986,"type":1906},"aiaca3816489",{"markdown":1987},"## Sumber\n\n- [World Athletics: Sawe breaks two-hour barrier with 1:59:30 world record at London Marathon](https:\u002F\u002Fworldathletics.org\u002Fcompetitions\u002Fworld-athletics-label-road-races\u002Fnews\u002Fsawe-two-hour-assefa-world-record-london-marathon)\n- [ANTARA: Tren lari kian menguat, sport tourism jadi mesin baru penggerak ekonomi](https:\u002F\u002Fmegapolitan.antaranews.com\u002Fberita\u002F544085\u002Ftren-lari-kian-menguat-sport-tourism-jadi-mesin-baru-penggerak-ekonomi)\n- [Wikipedia: Peter Riegel](https:\u002F\u002Fen.wikipedia.org\u002Fwiki\u002FPeter_Riegel)\n- [Pugh (1971), The influence of wind resistance in running and walking - PubMed](https:\u002F\u002Fpubmed.ncbi.nlm.nih.gov\u002F5574828\u002F)\n- [Hoogkamer, Kram & Arellano (2017), How Biomechanical Improvements in Running Economy Could Break the 2-hour Marathon Barrier - PubMed](https:\u002F\u002Fpubmed.ncbi.nlm.nih.gov\u002F28255937\u002F)\n- [OpenStax University Physics Volume 1: Drag Force and Terminal Speed](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Funiversity-physics-volume-1\u002Fpages\u002F6-4-drag-force-and-terminal-speed)","2026-10-28T10:04:51.143Z","2026-11-03T14:36:19.665Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[1992,1993],{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},[],[],[1997],{"lang":1891,"slug":1896},{"name":1999,"slug":2000,"photoUrl":2001,"profession":2002},"Risyad Raflan","risyad-raflan","https:\u002F\u002Fmyfismat.com\u002Fuploads\u002F3f3eca84-9800-4c5f-97ed-1dec08f03152.jpg","Mahasiswa Jurusan Sistem Informasi",{"assets":2004,"videos":2005,"questionSets":2006},{},{},{},[2008,2024,2037,2050],{"id":2009,"type":1895,"slug":2010,"title":2011,"excerpt":2012,"coverUrl":98,"status":1899,"publishedAt":2013,"featured":4,"readingMinutes":1403,"order":21,"updatedAt":2014,"subject":2015,"levels":2016,"topics":2019,"tags":2022,"author":2023},"cmvxe4god001r07scxrwi3yjn","hipotesis-riemann-kuasi-bilangan-prima-ai-2026","Hipotesis Riemann dan Bilangan Prima: Terobosan AI 2026","Apa itu hipotesis Riemann dan versi kuasi yang dibuktikan AI OpenAI pada 2026? Penjelasan bilangan prima, fungsi zeta, dan pita kritis dengan contoh.","2026-11-01T05:35:03.077Z","2026-11-01T05:35:03.083Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2017,2018],{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[2020,2021],{"id":164,"slug":166,"name":167,"subjectId":15},{"id":449,"slug":450,"name":451,"subjectId":15},[],{"name":1999,"slug":2000,"photoUrl":2001,"profession":2002},{"id":2025,"type":1895,"slug":2026,"title":2027,"excerpt":2028,"coverUrl":98,"status":1899,"publishedAt":2029,"featured":4,"readingMinutes":1425,"order":21,"updatedAt":2030,"subject":2031,"levels":2032,"topics":2035,"tags":2036,"author":98},"demo-v2-a-jaring-jaring-bangun-ruang","jaring-jaring-bangun-ruang","Jaring-jaring Bangun Ruang: Kubus, Balok, Prisma, Limas, Tabung","Jaring-jaring bangun ruang: 11 jaring-jaring kubus dan cara mengeceknya, jaring balok, prisma segitiga, limas, tabung, kerucut, dan kaitannya dengan luas.","2026-10-14T16:01:44.781Z","2026-10-14T16:01:44.783Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2033,2034],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},[],[],{"id":2038,"type":1895,"slug":2039,"title":2040,"excerpt":2041,"coverUrl":98,"status":1899,"publishedAt":2042,"featured":4,"readingMinutes":1414,"order":21,"updatedAt":2043,"subject":2044,"levels":2045,"topics":2048,"tags":2049,"author":98},"demo-v2-a-rumus-bangun-ruang","rumus-bangun-ruang","Rumus Bangun Ruang Lengkap: Volume dan Luas Permukaan + Contoh","Rumus bangun ruang lengkap: volume dan luas permukaan kubus, balok, prisma, limas, tabung, kerucut, dan bola dalam satu tabel, plus konversi liter.","2026-10-14T16:01:44.770Z","2026-10-14T16:01:44.772Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2046,2047],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},[],[],{"id":2051,"type":1895,"slug":2052,"title":2053,"excerpt":2054,"coverUrl":98,"status":1899,"publishedAt":2055,"featured":5,"readingMinutes":1377,"order":21,"updatedAt":2056,"subject":2057,"levels":2058,"topics":2063,"tags":2064,"author":98},"demo-v2-a-matematika","cara-belajar-matematika-dari-nol","Cara Belajar Matematika dari Nol: Urutan Materi SD–Kuliah","Cara belajar matematika dari nol: urutan materi dari pecahan, bangun ruang, aljabar, hingga kalkulus, kebiasaan belajar efektif, dan rencana 4 minggu.","2026-10-14T16:01:44.759Z","2026-10-14T16:01:44.762Z",{"id":15,"slug":16,"name":17,"color":20,"icon":19},[2059,2060,2061,2062],{"id":43,"slug":44,"name":45},{"id":49,"slug":50,"name":51},{"id":55,"slug":56,"name":57},{"id":60,"slug":61,"name":62},[],[],[]]