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2D Collision Example

A body is dro...

Question

A body is dropped from a height of 100m.At what height the velocity of body will be equal to one half of velocity when it hits the ground?

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Solution

$D e a r s t u d e n t, v e l o c i t y o n r e a c h i n g t h e g r o u n d = \sqrt{2 g h} v = \sqrt{2 \times 9.8 \times 100} = 44.27 m / s l e t a t h e i g h t h' t h e v e l o c i t y i s h a l f o f t h e g o r u n d v e l o c i t y o f b a l l s o, \sqrt{2 g h'} = \frac{44.27}{2} 2 g h' = \frac{1959.83}{4} h' = 24.99 m R e g a r d s$

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