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

A) $\sqrt{0.54}s$
B) $\sqrt{6\ }s$
C) $0.7\ s$
D) $1\ s$
Explanation

(c) $t = \sqrt{\frac{2h}{(g + a)}} = \sqrt{\frac{2 \times 2.7}{(9.8 + 1.2)}} = \sqrt{\frac{5.4}{11}} = \sqrt{0.49} = 0.7\ \sec$
As $u = 0$ and lift is moving upward with acceleration

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.