حلول التدريبات العملية كينماتيكا - رسوم بيانية كميًة: حساب زمن وموقع الالتقاء

8. السؤال الثامن

8.2. حساب زمن وموقع الالتقاء

يتحرك الجسمان في نفس زمن الحركة، لإيجاد زمن ومكان الالتقاء، نكتب دالتي المكان كدالة للزمن لكل من الجسمين.

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نجد زمن الالتقاء 't من مقارنة دالتي المكان كدالة للزمن:

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لحساب مكان الالتقاء، نعوّض زمن الالتقاء في إحدى دالتي المكان كدالة للزمن:

لذلك، يلتقي الجسمان في اللحظة t = 9.6s بالمكان X=7.68m.