A stone is dropped from a certain height which can reach the ground in $5\, second$. If the stone is stopped after $3\, second$ of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is........$sec$
$2$
$3$
$4$
None of these
A stone is dropped from a certain height which can reach the ground in $5\, second$. If the stone is stopped after $3\, second$ of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is........$sec$
Total distance $ = \frac{1}{2}g{t^2} = \frac{{25}}{2}g$
Distance moved in 3 sec $ = \frac{9}{2}g$
Remaining distance $ = \frac{{16}}{2}g$
If $t$ is the time taken by the stone to reach the ground for the remaining distance then
$ \Rightarrow \frac{{16}}{2}g = \frac{1}{2}g{t^2} \Rightarrow t = 4\;\sec $
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