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2nd Equation of Motion

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Question

$A f t e r s t r i k i n g a f l o o r a c e r t a i n b a l l r e b o u n d s {(\frac{4}{5})}^{t h} o f t h r h e i g h t f r o m w h i c h i t h a s f a l l e n . F i n d t h e t o t a l d i s t a n c e t h a t i t t r a v e l s b e f o r e c o m i n g t o r e s t, i f i t g e n t l y d r o p p e d f r o m a h e i g h t o f 120 m e t r e s .$

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Solution

It is given that if the ball is dropped from a height of $x$ metres, then it rebounds to a height of $\frac{4 x}{5}$ metres.

So if the ball is dropped from a height of 120 metres, then it rebounds to a height of $\frac{4 \times 120}{5} = 96$ metres.

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