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Assume it covers distance S meter in t seconds and diatance(S+2)meter is (t+0.1) second and solve. you will get S.
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h+2=velocity ^2÷2*g
hope this helps you
hope this helps you
Answered by
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Let the distance of the top of the window from roof = S meter
let time taken by the stone to cover S = t seconds
initial velocity = 0
So S = ut + 1/2 at^2
=> S = 0 + 1/2 × 10 × t^2
=> S = 5t^2
Given that it takes 0.1 second to cover the 2m high window. So it will take (t + 0.1)Seconds to cover (S+2) meters.
So (S+2) = 0×(t+0.1) + 1/2 × 10 × (t+0.1)^2
=> S + 2 = 5(t+0.1)^2
=> S + 2 = 5(t^2 + 0.01 + 0.2t)
=> 5t^2 + 2 = 5t^2 + 0.05 + t
=> 5t^2 - 5t^2 + 2 - 0.05 = t
=> t = 1.95 s
Now S = 5t^2 = 5 × 1.95^2 = 19.01 m
Hence, roof is 19.01m above the top of window.
let time taken by the stone to cover S = t seconds
initial velocity = 0
So S = ut + 1/2 at^2
=> S = 0 + 1/2 × 10 × t^2
=> S = 5t^2
Given that it takes 0.1 second to cover the 2m high window. So it will take (t + 0.1)Seconds to cover (S+2) meters.
So (S+2) = 0×(t+0.1) + 1/2 × 10 × (t+0.1)^2
=> S + 2 = 5(t+0.1)^2
=> S + 2 = 5(t^2 + 0.01 + 0.2t)
=> 5t^2 + 2 = 5t^2 + 0.05 + t
=> 5t^2 - 5t^2 + 2 - 0.05 = t
=> t = 1.95 s
Now S = 5t^2 = 5 × 1.95^2 = 19.01 m
Hence, roof is 19.01m above the top of window.
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