From the edge of a building of 500m high, a boy throws a stone horizontally with an initial speed of 10m/s .Neglecting air resistance, [i]find the time taken by the stone to reach the ground[ii] The vertical component of its velocity before it touches the ground [iii]The horizontal distance covered by the stone during this time interval

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Solution

$l e t t h e t i m e t a k e n b y t h e s t o n e t o c o v e r 500 m v e r t i c a l d i s \tan c e d u r i n g i t s f r e e f a l l b e t . . t h e r e f o r e a c c o r d i n g t o s e c o n d e q n o f m o t i o n, i) 500 = \frac{1}{2} \times 10 \times t^{2} o r t^{2} = 100 o r t = 10 s e c o n d . i i) t h e f i n a l v e l o c i t y b e f o r e t o u c h i n g t h e g r o u n d i s g i v e n b y f i r s t e q n o f m o t i o n, v = 10 \times 10 = 100 m s^{- 1} . i i i) t h e h o r i z o n t a l d i s \tan c e c o v e r e d X = u t = 10 \times 10 = 100 m .$

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