A body dropped from the top of a tower falls through 40 m during the l

1.	A body dropped from the top of a tower falls through 40 m during the last 2 seconds of its fall then the height of the tower is
Answer» let the total time of fall of the body be t sec then In t sec it falls (1/2)gt²and in t-2 sec it falls 1/2 g(t-2)² so by the given condition (1/2)gt^{2 -}1/2 g(t-2)²=40 =>1/2g(t²-t²+2t-4)=40 =>10t-20=40 [ taking g=10m/s²] => t=6 sec Hence height of the tower H = 1/2x10x6² = 180m

A body dropped from the top of a tower falls through 40 m during the last 2 seconds of its fall then the height of the tower is

Answer»

let the total time of fall of the body be t sec then

In t sec it falls (1/2)gt²and in t-2 sec it falls 1/2 g(t-2)²

so by the given condition

(1/2)gt^{2 -}1/2 g(t-2)²=40

=>1/2g(t²-t²+2t-4)=40

=>10t-20=40 [ taking g=10m/s²]

=> t=6 sec

Hence height of the tower H = 1/2x10x6² = 180m

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A body dropped from the top of a tower falls through 40 m during the last 2 seconds of its fall then the height of the tower is

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