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Question: An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant a...

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

A

0.54s\sqrt{0.54}s

B

6s\sqrt{6}s

C

0.7 s

D

1

Answer

0.7 s

Explanation

Solution

t=2h(g+a)=2×2.7(9.8+1.2)=5.411=0.49=0.7sect = \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=0u = 0and lift is moving upward with acceleration