1.

A body falls freely from a height of 125m(g=10m//s^(2)) after 2 sec gravity ceases to act Find the time taken by it to reach the ground?

Answer»

Solution :Distance covered in 2s under GRAVITY
`s_(1)=(1)/(2)g t^(2)=(1)/(2)(10)2^(2)=20M`
velocity at the end of 2s
`V=g t=(10)2=20m//s`.
Now at this instant gravity CEASES to act
implies velocity by here after BECOMES constant.
The remaining distance which is `125-20=105m` is covered by the body with constant velocity of `20m//s`.
Time taken to cover `105m` with constant velocity is given by,
`t_(1)=(S)/(V)impliest_(1)=(105)/(20)=5.25s`
Hence total time taken to reach the ground
`=2+5.25=7.25s`


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