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A body is projected upwards with a veloc...

A body is projected upwards with a velocity `u`. It passes through a certain point above the grond after `t_(1)`, Find the time after which the body posses thoruth the same point during the journey.

Text Solution

Verified by Experts

Suppose `v` be the velcity attained by the body after time
(i) `t_(1)`. The `v=u-g t_(1)`
Let the body reaches the same point at time `t_(2)`. Now velocity will be be donward with same magitude `v`, then …(ii)
`-v=u-g t_(2)`
(i)-(ii) `rArr2v=g (t_(2)-t_(1))`
or `t_(2)-t_(1)=(2v)/(g)=(2)/(g) (u-gt_(1))=2((u)/(g) -t_(1))`.
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