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Dropping Objects

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Question

two balls projected in vertical upward direction with same speed of 40 m/s, at interval of 2 sec. At what height and time will the projections collide

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Solution

$L e t t h e p a r t i c l e m e e t t_{0} s e c o n d s a f t e r t h e p r o j e c t i o n o f t h e f i r s t p a r t i c l e, l e t t h e y w i l l m e e t a t h h e i g h t, h = u t_{0} - \frac{1}{2} g t_{0}^{2} (1 F o r s e c o n d p a r t i c l e h = u (t_{0} - t) - \frac{1}{2} g (t_{0} - t)^{2} (2 f r o m (1 a n d (2 u t_{0} - \frac{1}{2} g t_{0}^{2} = u (t_{0} - t) - \frac{1}{2} g (t_{0} - t)^{2} t_{0} = \frac{t}{2} + \frac{u}{g} = \frac{2}{2} + \frac{40}{10} = 5 s e c$

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