A ball is thrown vertically upward with a speed 10m/s.Calculate the
A) Maximum height attained by the ball
B) Velocity of the ball just before touching the ground
C) Total time taken by the ball to reach the ground

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Solution

Dear Student

At maximum height final speed of the ball is zero

$a) v^{2} = u^{2} - 2 g h v = 0 u = 10 m / s u^{2} = 2 g h 100 = 2 \times 10 h h = 5 m b) N o w w h e n b a l l f a l l f r o m h e i g h t 5 m, u = 0 v^{2} = u^{2} + 2 g h = 0 + 2 \times 10 \times 5 = 100 v = 10 m / s c) T i m e t a k e n b y b a l l t o r e a c h t o g r o u n d f r o m h e i g h t 5 m s = u t + \frac{1}{2} g t^{2} 5 = 0 + \frac{1}{2} \times 10 \times t^{2} 5 = 5 t^{2} t = 1 s S o s a m e t i m e i t w i l l t a k e t o r e a c h t o h e i g h t 5 m w h e n t h r o w n v e r t i c a l l y . T o t a l t i m e a k e n b y b a l l t o r e a c h t o g r o u n d f r o m t h r o w n v e r t i c a l l y u p w a r d w i l l b e 2 s$
Regards

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