[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"public-settings":3,"content:materi:demo-materi-matematika-sma-1":11,"public-catalog":179},{"features.tutoring.enabled":4,"sections.subjects.enabled":5,"sections.pricing.enabled":5,"sections.teachers.enabled":5,"sections.testimonials.enabled":4,"sections.faqs.enabled":5,"bankSoal.enabled":5,"site.maintenance":4,"whatsapp.number":6,"brand.name":7,"brand.tagline":8,"contact.email":9,"contact.address":10},false,true,"6285156084435","MyFismat","Platform belajar Matematika, Fisika, dan Pemrograman untuk SD, SMP, SMA, dan Kuliah","support@myfismat.com","Indonesia",{"id":12,"type":13,"slug":14,"title":15,"excerpt":16,"coverUrl":17,"status":18,"publishedAt":19,"featured":5,"subjectId":20,"blocks":21,"seoTitle":17,"seoDescription":17,"readingMinutes":71,"order":72,"createdAt":73,"updatedAt":73,"subject":74,"levels":79,"topics":84,"tags":88,"author":17,"resolved":89,"related":112},"demo-v2-m-matematika-sma-1","MATERIAL","demo-materi-matematika-sma-1","Fungsi kuadrat: akar, puncak, dan bentuk grafik","Menghubungkan bentuk umum, faktor, dan kuadrat sempurna untuk memahami parabola dan nilai optimum.",null,"PUBLISHED","2026-10-08T10:03:56.501Z","cmuzbyhdg000471r9l54yc9ia",[22,27,31,38,45,49,53,57,61,65],{"id":23,"data":24,"type":26},"section-1",{"markdown":25},"## Tujuan dan prasyarat\n\nKamu akan membaca fungsi kuadrat melalui tiga bentuk aljabar, menemukan akar dan puncak, serta memakai puncak untuk masalah maksimum atau minimum. Prasyaratnya adalah pemfaktoran, koordinat, dan operasi kuadrat. Grafik membantu menguji perhitungan, tetapi titik yang tampak pada layar perlu dikonfirmasi dengan substitusi.\n","text",{"id":28,"data":29,"type":26},"section-2",{"markdown":30},"## Tiga bentuk, tiga informasi\n\nFungsi kuadrat berbentuk $f(x)=ax^2+bx+c$ dengan $a\\ne0$. Grafiknya disebut parabola. Jika $a>0$, parabola terbuka ke atas dan mempunyai nilai minimum. Jika $a\u003C0$, parabola terbuka ke bawah dan mempunyai nilai maksimum. Pada bentuk umum, $c=f(0)$ langsung memberikan titik potong sumbu $y$.\n\nJika fungsi dapat ditulis $a(x-r_1)(x-r_2)$, angka $r_1$ dan $r_2$ adalah akar realnya. Pada akar, keluaran nol karena salah satu faktor nol. Tidak semua fungsi kuadrat memiliki dua akar real berbeda. Diskriminan $D=b^2-4ac$ membedakan dua akar real ketika $D>0$, satu akar real ganda ketika $D=0$, dan tidak ada akar real ketika $D\u003C0$.\n\nBentuk puncak $f(x)=a(x-h)^2+k$ memperlihatkan titik puncak $(h,k)$. Karena $(x-h)^2$ tidak negatif, nilai terendahnya nol pada $x=h$. Jika $a$ positif, $k$ menjadi nilai minimum; jika negatif, $k$ menjadi maksimum. Garis $x=h$ adalah sumbu simetri: nilai pada $h-d$ dan $h+d$ sama. Pada bentuk umum, $h=-b\u002F(2a)$ dan $k=f(h)$.\n\nMelengkapkan kuadrat menyambungkan bentuk umum ke bentuk puncak. Tambahkan dan kurangkan bilangan yang diperlukan agar dua suku pertama membentuk kuadrat sempurna. Jangan menambahkan sebuah bilangan tanpa mengimbanginya karena itu akan mengubah fungsi.\n",{"id":32,"data":33,"type":37},"visual-guide",{"title":34,"variant":35,"markdown":36},"Eksplorasi visual","info","Model awal a = 1, b = 0, c = 0 menampilkan y = x². Cek titik (0,0), (1,1), dan (-1,1). Atur b = -2 dan c = -3 dengan a tetap 1 untuk memperoleh y = x² - 2x - 3. Dalam sumbu -5 sampai 5, cari akar (-1,0), (3,0), serta puncak (1,-4). Ubah hanya a menjadi -1 untuk melihat bahwa arah buka berubah; hitung ulang puncak karena perubahan a juga mengubah posisi puncak saat b tetap.","callout",{"id":39,"data":40,"type":44},"visual",{"height":41,"assetId":42,"caption":43},480,"demo-v2-asset-quadratic","Kurva kuadrat: bentuk, puncak, dan akar","interactive",{"id":46,"data":47,"type":26},"section-3",{"markdown":48},"## Contoh 1: akar dan puncak satu parabola\n\nDiberikan $f(x)=x^2-2x-3$.\n\n1. Faktorkan: $(x-3)(x+1)$. Dua angka yang hasil kalinya minus tiga dan jumlahnya minus dua adalah minus tiga dan satu.\n2. Akar diperoleh dari $x-3=0$ atau $x+1=0$, sehingga $x=3$ atau $x=-1$.\n3. Lengkapi kuadrat: $x^2-2x-3=(x-1)^2-4$. Puncaknya $(1,-4)$ dan nilai minimumnya minus empat.\n4. Periksa akar dengan substitusi: $f(3)=9-6-3=0$ dan $f(-1)=1+2-3=0$.\n5. Periksa simetri: akar berjarak dua satuan dari $x=1$, dan $f(0)=f(2)=-3$.\n",{"id":50,"data":51,"type":26},"section-4",{"markdown":52},"## Contoh 2: luas taman dengan pagar terbatas\n\nTaman persegi panjang mempunyai keliling 20 meter. Jika lebar $x$ meter, berapa luas maksimumnya?\n\n1. Dari $2(p+x)=20$, panjangnya $p=10-x$. Agar kedua sisi positif, gunakan domain $0\u003Cx\u003C10$.\n2. Luas $A(x)=x(10-x)=-x^2+10x$ meter persegi.\n3. Lengkapi kuadrat: $A(x)=-(x-5)^2+25$. Maksimum terjadi pada $x=5$, dengan panjang juga 5 meter.\n4. Luas maksimumnya 25 meter persegi. Periksa keliling $2(5+5)=20$ meter.\n5. Bandingkan ukuran 4 kali 6: luasnya 24 meter persegi. Selisih dari maksimum adalah $(4-5)^2=1$, sesuai bentuk puncak.\n",{"id":54,"data":55,"type":26},"section-5",{"markdown":56},"## Kesalahan umum\n\nAkar adalah nilai $x$ ketika $f(x)=0$, sedangkan puncak adalah pasangan koordinat. Jangan membaca puncak bentuk $(x-1)^2-4$ sebagai $(-1,-4)$; kuadrat menjadi nol pada $x=1$. Arah buka ditentukan tanda $a$, bukan tanda $c$. Untuk masalah cerita, maksimum aljabar harus berada dalam domain yang diizinkan.\n",{"id":58,"data":59,"type":26},"section-6",{"markdown":60},"## Ringkasan dan cek mandiri\n\nBentuk umum memudahkan membaca $f(0)$, bentuk faktor menampilkan akar, dan bentuk puncak menjelaskan simetri serta optimum. Untuk $g(x)=(x+2)^2+1$, puncaknya $(-2,1)$ dan tidak ada akar real karena nilai minimum positif. Jelaskan mengapa grafik tidak memotong sumbu $x$.",{"id":62,"data":63,"type":26},"sources",{"markdown":64},"## Sumber belajar\n\n- [OpenStax Algebra and Trigonometry 2e — Quadratic Functions](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Falgebra-and-trigonometry-2e\u002Fpages\u002F5-1-quadratic-functions)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.",{"id":66,"data":67,"type":70},"practice",{"title":68,"questionSetId":69},"Cek pemahaman: Fungsi kuadrat: akar, puncak, dan bentuk grafik","demo-v2-p-matematika-sma-1","quiz",3,0,"2026-10-08T10:03:56.502Z",{"id":20,"slug":75,"name":76,"color":77,"icon":78},"matematika","Matematika","#8B5CF6","sigma",[80],{"id":81,"slug":82,"name":83},"cmuzbyhdb000271r9up0bfli4","sma","SMA",[85],{"id":86,"slug":87,"name":15,"subjectId":20},"demo-v2-topic-matematika-sma-1","demo-v2-sma-1",[],{"assets":90,"videos":105,"questionSets":106},{"demo-v2-asset-quadratic":91},{"id":42,"slug":92,"kind":93,"title":43,"description":94,"url":17,"posterUrl":17,"config":95,"subject":104},"demo-quadratic","GRAPH_2D","Ubah a, b, dan c pada y = ax² + bx + c untuk melihat perubahan 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Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":349,"subjectId":20,"levelId":81,"parentId":17,"slug":1757,"name":1758,"description":1759,"order":1760,"createdAt":1761,"updatedAt":1761},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":492,"subjectId":185,"levelId":81,"parentId":17,"slug":1763,"name":1764,"description":1765,"order":1760,"createdAt":1766,"updatedAt":1766},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":498,"subjectId":185,"levelId":81,"parentId":17,"slug":1768,"name":1769,"description":1770,"order":1771,"createdAt":1772,"updatedAt":1772},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":397,"subjectId":20,"levelId":81,"parentId":17,"slug":1774,"name":1775,"description":1776,"order":1771,"createdAt":1777,"updatedAt":1777},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":289,"subjectId":20,"levelId":81,"parentId":17,"slug":1779,"name":1780,"description":1781,"order":1782,"createdAt":1783,"updatedAt":1783},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":433,"subjectId":185,"levelId":81,"parentId":17,"slug":1785,"name":1786,"description":1787,"order":1782,"createdAt":1788,"updatedAt":1788},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1790,"subjectId":20,"levelId":81,"parentId":17,"slug":1791,"name":1792,"description":1793,"order":1794,"createdAt":1795,"updatedAt":1795},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1797,"subjectId":20,"levelId":81,"parentId":17,"slug":1798,"name":1799,"description":1800,"order":1801,"createdAt":1802,"updatedAt":1802},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1804,"subjectId":20,"levelId":81,"parentId":17,"slug":1805,"name":1806,"description":1807,"order":1808,"createdAt":1809,"updatedAt":1809},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1811,"subjectId":193,"levelId":17,"parentId":17,"slug":1812,"name":1813,"description":1814,"order":1815,"createdAt":1816,"updatedAt":1816},"demo-v2-topic-pemrograman-sd-1","demo-v2-sd-1","Algoritma: Urutan Perintah yang Jelas","Susun instruksi sederhana, lalu telusuri hasilnya selangkah demi selangkah.",100,"2026-10-08T10:03:56.954Z",{"id":86,"subjectId":20,"levelId":81,"parentId":17,"slug":87,"name":15,"description":16,"order":1815,"createdAt":1818,"updatedAt":1818},"2026-10-08T10:03:56.485Z",{"id":1820,"subjectId":193,"levelId":81,"parentId":17,"slug":87,"name":1821,"description":1822,"order":1815,"createdAt":1823,"updatedAt":1823},"demo-v2-topic-pemrograman-sma-1","Fungsi: Memisahkan Masukan, Proses, dan Hasil","Buat fungsi Python yang bisa dipakai ulang dan bedakan return dari print.","2026-10-08T10:03:57.108Z",{"id":1825,"subjectId":185,"levelId":124,"parentId":17,"slug":1826,"name":1827,"description":1828,"order":1815,"createdAt":1829,"updatedAt":1829},"demo-v2-topic-fisika-smp-1","demo-v2-smp-1","Gerak Lurus: Jarak, Perpindahan, dan Grafik Posisi","Membedakan kelajuan dan kecepatan rata-rata serta membaca arti kemiringan grafik posisi terhadap waktu.","2026-10-08T10:03:56.729Z",{"id":1831,"subjectId":185,"levelId":81,"parentId":17,"slug":87,"name":1832,"description":1833,"order":1815,"createdAt":1834,"updatedAt":1834},"demo-v2-topic-fisika-sma-1","Hukum II Newton dan Gesekan pada Bidang Datar","Membuat diagram gaya, menentukan resultan, dan membedakan gesekan statis dari gesekan kinetik.","2026-10-08T10:03:56.801Z",{"id":1836,"subjectId":185,"levelId":17,"parentId":17,"slug":1812,"name":1837,"description":1838,"order":1815,"createdAt":1839,"updatedAt":1839},"demo-v2-topic-fisika-sd-1","Mengukur Panjang dan Volume Benda","Membaca penggaris, memakai satuan baku, dan menghitung isi kubus melalui susunan kubus kecil.","2026-10-08T10:03:56.657Z",{"id":1841,"subjectId":193,"levelId":129,"parentId":17,"slug":177,"name":1842,"description":1843,"order":1815,"createdAt":1844,"updatedAt":1844},"demo-v2-topic-pemrograman-kuliah-1","Pencarian Linear, Set, dan Biaya Operasi","Bandingkan cara mencari anggota data melalui langkah yang benar-benar dikerjakan.","2026-10-08T10:03:57.182Z",{"id":1846,"subjectId":20,"levelId":124,"parentId":17,"slug":1826,"name":1847,"description":1848,"order":1815,"createdAt":1849,"updatedAt":1849},"demo-v2-topic-matematika-smp-1","Perbandingan senilai dan berbalik nilai","Memilih model dari besaran yang tetap: rasio tetap untuk senilai dan hasil kali tetap untuk berbalik nilai.","2026-10-08T10:03:56.412Z",{"id":176,"subjectId":20,"levelId":129,"parentId":17,"slug":177,"name":167,"description":168,"order":1815,"createdAt":1851,"updatedAt":1851},"2026-10-08T10:03:56.556Z",{"id":1853,"subjectId":193,"levelId":124,"parentId":17,"slug":1826,"name":1854,"description":1855,"order":1815,"createdAt":1856,"updatedAt":1856},"demo-v2-topic-pemrograman-smp-1","Variabel, Tipe Data, dan Keluaran Python","Simpan nilai dengan nama yang jelas dan bedakan angka dari teks.","2026-10-08T10:03:57.035Z",{"id":1858,"subjectId":185,"levelId":129,"parentId":17,"slug":177,"name":1859,"description":1860,"order":1815,"createdAt":1861,"updatedAt":1861},"demo-v2-topic-fisika-kuliah-1","Vektor Tiga Dimensi dan Usaha sebagai Hasil Kali Titik","Menghubungkan komponen, panjang vektor, vektor satuan, proyeksi, dan makna fisik hasil kali titik.","2026-10-08T10:03:56.874Z",{"id":1863,"subjectId":20,"levelId":81,"parentId":17,"slug":1864,"name":1865,"description":1866,"order":1867,"createdAt":1868,"updatedAt":1868},"demo-v2-topic-matematika-sma-2","demo-v2-sma-2","Eksponen dan logaritma: mencari pangkat yang belum diketahui","Membedakan kenaikan tetap dan faktor tetap, lalu membaca logaritma sebagai operasi balik eksponen.",101,"2026-10-08T10:03:56.507Z",{"id":1870,"subjectId":20,"levelId":124,"parentId":17,"slug":1871,"name":1872,"description":1873,"order":1867,"createdAt":1874,"updatedAt":1874},"demo-v2-topic-matematika-smp-2","demo-v2-smp-2","Fungsi linear: gradien dan titik potong","Membaca y = mx + b sebagai perubahan tetap, menghitung gradien dari dua titik, dan memeriksa grafik.","2026-10-08T10:03:56.434Z",{"id":1876,"subjectId":185,"levelId":17,"parentId":17,"slug":1877,"name":1878,"description":1879,"order":1867,"createdAt":1880,"updatedAt":1880},"demo-v2-topic-fisika-sd-2","demo-v2-sd-2","Gaya: Dorongan, Tarikan, dan Perubahan Gerak","Mengenali siapa yang memberikan gaya, arah gaya, dan perubahan gerak atau bentuk yang dapat diamati.","2026-10-08T10:03:56.679Z",{"id":1882,"subjectId":185,"levelId":81,"parentId":17,"slug":1864,"name":1883,"description":1884,"order":1867,"createdAt":1885,"updatedAt":1885},"demo-v2-topic-fisika-sma-2","Gerak Peluru: Dua Arah dengan Satu Waktu","Menguraikan kecepatan awal, menghitung waktu terbang, tinggi maksimum, dan jangkauan untuk model ideal.","2026-10-08T10:03:56.824Z",{"id":161,"subjectId":20,"levelId":129,"parentId":17,"slug":162,"name":152,"description":153,"order":1867,"createdAt":1887,"updatedAt":1887},"2026-10-08T10:03:56.578Z",{"id":1889,"subjectId":193,"levelId":129,"parentId":17,"slug":162,"name":1890,"description":1891,"order":1867,"createdAt":1892,"updatedAt":1892},"demo-v2-topic-pemrograman-kuliah-2","Kelas dan Invarian pada Objek","Kelola keadaan dan perilaku bersama, lalu jaga agar objek selalu valid.","2026-10-08T10:03:57.206Z",{"id":1894,"subjectId":193,"levelId":81,"parentId":17,"slug":1864,"name":1895,"description":1896,"order":1867,"createdAt":1897,"updatedAt":1897},"demo-v2-topic-pemrograman-sma-2","List dan Dictionary untuk Mengolah Data","Pilih struktur data sesuai cara mengaksesnya dan hitung ringkasan data.","2026-10-08T10:03:57.131Z",{"id":1899,"subjectId":185,"levelId":124,"parentId":17,"slug":1871,"name":1900,"description":1901,"order":1867,"createdAt":1902,"updatedAt":1902},"demo-v2-topic-fisika-smp-2","Massa Jenis: Menghubungkan Massa dan Volume","Menghitung massa jenis, mengukur volume dengan perpindahan air, dan menjaga konsistensi satuan.","2026-10-08T10:03:56.750Z",{"id":1904,"subjectId":185,"levelId":129,"parentId":17,"slug":162,"name":1905,"description":1906,"order":1867,"createdAt":1907,"updatedAt":1907},"demo-v2-topic-fisika-kuliah-2","Osilasi Harmonik Sederhana: Fase, Turunan, dan Energi","Menganalisis model x = A cos(ωt), menurunkan kecepatan dan percepatan, serta memeriksa kekekalan energi.","2026-10-08T10:03:56.896Z",{"id":1909,"subjectId":193,"levelId":17,"parentId":17,"slug":1877,"name":1910,"description":1911,"order":1867,"createdAt":1912,"updatedAt":1912},"demo-v2-topic-pemrograman-sd-2","Pengulangan: Langkah yang Dikerjakan Berkali-kali","Kenali pola berulang dan hitung hasil tiap putaran tanpa kehilangan jejak.","2026-10-08T10:03:56.978Z",{"id":1914,"subjectId":193,"levelId":124,"parentId":17,"slug":1871,"name":1915,"description":1916,"order":1867,"createdAt":1917,"updatedAt":1917},"demo-v2-topic-pemrograman-smp-2","Percabangan Python dan Batas Keputusan","Tulis if, elif, dan else serta uji nilai di sekitar batas.","2026-10-08T10:03:57.057Z",{"id":1919,"subjectId":185,"levelId":81,"parentId":17,"slug":1920,"name":1921,"description":1922,"order":1923,"createdAt":1924,"updatedAt":1924},"demo-v2-topic-fisika-sma-3","demo-v2-sma-3","Hukum Ohm, Daya, dan Energi pada Resistor","Menghubungkan tegangan, arus, hambatan, dan energi listrik tanpa mencampurkan satuan volt, ampere, watt, dan joule.",102,"2026-10-08T10:03:56.846Z",{"id":1926,"subjectId":193,"levelId":81,"parentId":17,"slug":1920,"name":1927,"description":1928,"order":1923,"createdAt":1929,"updatedAt":1929},"demo-v2-topic-pemrograman-sma-3","Membaca Berkas dan Menangani Masukan Salah","Ubah baris teks menjadi angka dan tangani kesalahan yang bisa diperkirakan.","2026-10-08T10:03:57.153Z",{"id":1931,"subjectId":20,"levelId":81,"parentId":17,"slug":1920,"name":1932,"description":1933,"order":1923,"createdAt":1934,"updatedAt":1934},"demo-v2-topic-matematika-sma-3","Peluang: ruang sampel, kejadian, dan pengambilan bertahap","Menghitung peluang melalui hasil yang sama mungkin dan memahami pengaruh pengembalian pada pengambilan kedua.","2026-10-08T10:03:56.528Z",{"id":1936,"subjectId":193,"levelId":129,"parentId":17,"slug":147,"name":1937,"description":1938,"order":1923,"createdAt":1939,"updatedAt":1939},"demo-v2-topic-pemrograman-kuliah-3","Pengujian Otomatis dan Kasus Batas","Uji kontrak fungsi dengan contoh biasa, batas, dan masukan tidak sah.","2026-10-08T10:03:57.229Z",{"id":1941,"subjectId":193,"levelId":17,"parentId":17,"slug":1942,"name":1943,"description":1944,"order":1923,"createdAt":1945,"updatedAt":1945},"demo-v2-topic-pemrograman-sd-3","demo-v2-sd-3","Percabangan: Memilih Tindakan dengan Syarat","Gunakan pertanyaan ya atau tidak untuk menentukan tindakan yang tepat.","2026-10-08T10:03:57.006Z",{"id":1947,"subjectId":193,"levelId":124,"parentId":17,"slug":1948,"name":1949,"description":1950,"order":1923,"createdAt":1951,"updatedAt":1951},"demo-v2-topic-pemrograman-smp-3","demo-v2-smp-3","Perulangan for dan Akumulator","Hitung total data dengan jejak putaran yang dapat diperiksa.","2026-10-08T10:03:57.079Z",{"id":1953,"subjectId":185,"levelId":17,"parentId":17,"slug":1942,"name":1954,"description":1955,"order":1923,"createdAt":1956,"updatedAt":1956},"demo-v2-topic-fisika-sd-3","Suhu dan Perpindahan Kalor di Sekitar Kita","Membaca perubahan suhu dan membedakan konduksi, konveksi, serta radiasi melalui kejadian sehari-hari.","2026-10-08T10:03:56.700Z",{"id":1958,"subjectId":20,"levelId":124,"parentId":17,"slug":1948,"name":1959,"description":1960,"order":1923,"createdAt":1961,"updatedAt":1961},"demo-v2-topic-matematika-smp-3","Teorema Pythagoras dan jarak diagonal","Menentukan sisi segitiga siku-siku dengan kuadrat panjang, lalu memeriksa hasil melalui geometri dan satuan.","2026-10-08T10:03:56.456Z",{"id":1963,"subjectId":185,"levelId":129,"parentId":17,"slug":147,"name":1964,"description":1965,"order":1923,"createdAt":1966,"updatedAt":1966},"demo-v2-topic-fisika-kuliah-3","Usaha Gaya Berubah: Integral dan Teorema Energi Kinetik","Menghitung luas bertanda di bawah grafik gaya, menghubungkannya dengan integral, dan menentukan kelajuan akhir.","2026-10-08T10:03:56.918Z",{"id":1968,"subjectId":185,"levelId":124,"parentId":17,"slug":1948,"name":1969,"description":1970,"order":1923,"createdAt":1971,"updatedAt":1971},"demo-v2-topic-fisika-smp-3","Usaha dan Energi: Memeriksa Perubahan dengan Joule","Menghitung usaha gaya searah atau berlawanan, energi gerak, dan perubahan energi ketika benda diangkat.","2026-10-08T10:03:56.772Z",{"id":146,"subjectId":20,"levelId":129,"parentId":17,"slug":147,"name":137,"description":138,"order":1923,"createdAt":1973,"updatedAt":1973},"2026-10-08T10:03:56.615Z",[]]