How long will a stone take to fall to the ground from the top of a building nbsp-80 m nbsp-high and what will be the velocity of the stone on reaching the ground-take g-10m-s2

Dear Student As #160;given, #160;Stone #160;fall #160;from #160;top #160;of #160;building #160;therefore #160;initial #160;velocity #16 ...

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Standard XII

Physics

Finding Average Velocity

how long will...

Question

how long will a stone take to fall to the ground from the top of a building 80 m high and what will be the velocity of the stone on reaching the ground.take g=10m/s2

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Solution

Dear Student

$A s g i v e n, S t o n e f a l l f r o m t o p o f b u i l d i n g t h e r e f o r e i n i t i a l v e l o c i t y u = 0 S = 80 m F r o m e q u a t i o n o f m o t i o n v^{2} = u^{2} + 2 g h v^{2} = 2 \times 10 \times 80 = 1600 v = 40 m / s$
$v = u + g t v = 0 + g t t = v / g t = 40 / 10 = 4 s e c T h i s i s t i m e t a k e n b y s t o n e t o r e a c h t o g r o u n d .$
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how long will a stone take to fall to the ground from the top of a building 80 m high and what will be the velocity of the stone on reaching the ground.take g=10m/s2

Dear Student As given, Stone fall from top of building therefore initial velocity u =0S= 80 mFrom equation of motionv2= u2+2ghv2=2×10×80=1600 v =40 m/s v = u +gtv = 0+gtt = v/gt =40/10 = 4 secThis is time taken by stone to reach to ground. Regards