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küçük yol sonra daha büyük yol yapar (1, 3, 5).","Çıkış ve iniş süreleri, atılma hızının dikey bileşeni (vy) ile yerçekimi (g) bölümü ile bulunur ve çıkış süresi iniş süresine eşittir."]},"beginTime":249,"endTime":513,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=249&ask_summarization=1"},{"index":3,"title":"Önemli Formüller","list":{"type":"unordered","items":["Menzil formülü (yatayda alınan yol) v0²/g × sin2α şeklindedir ve bu formülü ezberlemek önemlidir.","Yatayda alınan menzil, yatay hız (vx) ile uçuş süresi (t) çarpımıyla bulunur.","Eğik atış hareketi aslında çok basit bir konudur, ancak formüllere ve rakamlara dökünce zor görünse de aslında kolay bir harekettir."]},"beginTime":513,"endTime":622,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=513&ask_summarization=1"},{"index":4,"title":"Eğik Atış Hareketinin Özellikleri","list":{"type":"unordered","items":["Eğik atış hareketinde yatayda sabit hızlı hareket olur ve hız değişmez, ivme yoktur.","Düşeyde (y ekseninde) önce artı yönde düzgün yavaşlayan hareket yapılır, hız sıfır olur ve sonra eksi yönde düzgün hızlanan hareket yapılır.","Konum-zaman grafiğinde düşerken belirli bir şekil oluşur, ivme sabit yerçekimi ivmesi olur ve hız-zaman grafiğinde önce artı yönde azalır, sıfır olur, sonra eksi yönde artar."]},"beginTime":627,"endTime":752,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=627&ask_summarization=1"},{"index":5,"title":"Menzil ve Açının İlişkisi","list":{"type":"unordered","items":["Cismin menzilinin maksimum olmasını istiyorsak kesinlikle 45 derece ile atılması gerekir.","Menzil formülü sin(2α) içerdiğinden, maksimum değeri sin90°=1 olduğundan 2α=90°, α=45° olur.","45 dereceye özel olarak yükseklik maksimum yükseklikle menzil birbirine oranı 1/4 olur."]},"beginTime":752,"endTime":833,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=752&ask_summarization=1"},{"index":6,"title":"Eğik Atış Hareketinin Özellikleri","list":{"type":"unordered","items":["Aynı hızla atılan cisimler eğer atılma açıları birbirini 90 dereceye tamamlarsa aynı yere düşerler.","Ayni yükseklikten aynı hızla atılan cisimler, atılma açıları ve kütleleri ne olursa olsun yere aynı büyüklükteki hızla çarparlar.","Yere çarpan cisimlerin hızı kütle ile değil, atılma hızı ve yükseklikle alakalıdır, ancak hız vektörel bir kavram olduğundan yönleri farklı olduğu için aynı hızla çarpmazlar."]},"beginTime":833,"endTime":969,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=833&ask_summarization=1"},{"index":7,"title":"Fizik Problemi Çözümü","list":{"type":"unordered","items":["Bir cisim hava sürtünmeleri önemsenmeden yatayla 53 derece açı yaparak 100 m/s hızla atılıyor.","Sin 53 = 0,8 ve cos 53 = 0,6 değerleri verilmiş, yerçekimi 10 m/s² olarak kabul ediliyor.","Hareketin yatay bileşeni 60 m/s, düşey bileşeni 80 m/s olarak hesaplanıyor."]},"beginTime":972,"endTime":1038,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=972&ask_summarization=1"},{"index":8,"title":"Uçuş Süresi ve Maksimum Yükseklik","list":{"type":"unordered","items":["Cismin uçuş süresi 16 saniye, çünkü 80 m/s hızıyla atılan cisim 8 saniyede tepeye çıkar ve 8 saniyede yere iner.","Maksimum yükseklik 320 metre olarak hesaplanıyor, bu da 80 m/s hızıyla başlayıp 0'a kadar düşen cismin aldığı yol.","Menzil 960 metre olarak bulunuyor, bu da yatay hız (60 m/s) ile uçuş süresi (16 saniye) çarpılarak hesaplanıyor."]},"beginTime":1038,"endTime":1203,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=1038&ask_summarization=1"},{"index":9,"title":"Zaman Bazlı Hareket Özellikleri","list":{"type":"unordered","items":["Cisim atıldıktan 10 saniye sonra yerden yüksekliği 300 metre olarak bulunuyor, çünkü tepeye ulaştıktan sonra 2 saniye içinde 20 metre düşüyor.","14 saniye sonraki hız 60 m/s olarak hesaplanıyor, çünkü tepeden sonra 6 saniye içinde aşağı doğru 60 m/s hız kazanıyor.","Pisagor bağıntısı kullanılarak toplam hız 80 m/s olarak bulunuyor."]},"beginTime":1203,"endTime":1321,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=1203&ask_summarization=1"},{"index":10,"title":"Eğik Atış Problemleri","list":{"type":"unordered","items":["Eğik atış problemlerinde cismin yatay hızı değişmezken, düşey hızı yerçekimi etkisiyle değişir.","Cismin maksimum yüksekliğini bulmak için ortalama hızla zamanı çarparak (ilk hız+son hız)/2×zaman formülü kullanılır.","Menzil hesaplaması için yatay hızla toplam uçuş süresi çarpılır."]},"beginTime":1325,"endTime":1486,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=1325&ask_summarization=1"},{"index":11,"title":"Yerçekimi Değişikliğinin Etkileri","list":{"type":"unordered","items":["Yerçekimi küçültüldüğünde, cismin çıkış süresi, maksimum yüksekliği ve menzili artar.","Yerçekimi değişse bile, cismin yere çarptığı anki kinetik enerjisi değişmez çünkü sürtünmeler önemsemediği sürece enerji korunur.","Yerçekimi olmasaydı cisim doğrusal bir yörünge izlerken, yerçekimi etkisiyle yörünge aşağı doğru sarkar."]},"beginTime":1486,"endTime":1776,"href":"/video/preview/8280637242822369354?parent-reqid=1769312048591116-4936343232857030198-balancer-l7leveler-kubr-yp-sas-16-BAL&text=projectile&t=1486&ask_summarization=1"},{"index":12,"title":"Eğik Atış Problemi Çözümü","list":{"type":"unordered","items":["Eğik atış problemlerinde ilk adım olarak hız bileşenleri (yatay ve düşey) hesaplanır.","Cismin atıldığı noktanın yerden yüksekliği, düşey hızı ve yerçekimi değerleri kullanılarak bulunabilir.","Cismin yere düşerken son saniyede aldığı yükseklik, toplam uçuş süresi ve yerçekimi değerlerine bağlı olarak 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