A ball is allowed to fall from the top of a building 51 is time taken to first ball One by fourth of its height and t2 is time taken to fall Last One by fourth of its height t2/t1
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Explanation:
Given A ball is allowed to fall from the top of a building t1 is time taken to first ball One by fourth of its height and t2 is time taken to fall Last One by fourth of its height t2/t1
Now according to question we get
H = 1/2 gt^2
So t1 = √h/2 g
Let time t be the remaining height to cover will be 3h/4
So t = √3h/2g
Now let time T to cover total height will be
So T = √2h/g
So time to cover h/4 distance will be t2
So t2 = T – t
So t2 = √2h/g - √3h/2g
Now t2 / t1 = √2h/g - √3h/2g / √h/2 g
So t2 / t1 = √2g2h - √3hg / √g 2g x √2g / √ h
= √gh(2 - √3) /√gh
Or t2/t1 = 2 - √3
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will be the correct answer hope it helps you t2/t1=2-√3
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