An elevator car, whose floor to ceiling di

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An elevator car, whose floor to ceiling distance is equal to $2.7 \,m$, starts ascending with constant acceleration of $1.2 \;ms^{-2}$. $2 \,sec$ after the start, a bolt begins fallings from the ceiling of the car. The free fall time of the bolt is.........$s$

A

$\sqrt {0.54} $

B

$\sqrt 6$

C

$0.7$

D

$1$

An elevator car, whose floor to ceiling distance is equal to $2.7 \,m$, starts ascending with constant acceleration of $1.2 \;ms^{-2}$. $2 \,sec$ after the start, a bolt begins fallings from the ceiling of the car. The free fall time of the bolt is.........$s$

$t = \sqrt {\frac{{2h}}{{(g + a)}}} $

$ = \sqrt {\frac{{2 \times 2.7}}{{(9.8 + 1.2)}}} = \sqrt {\frac{{5.4}}{{11}}} = \sqrt {0.49} = 0.7\sec $

As $u = 0$ and lift is moving upward with acceleration