A loose bolt falls from the roof of a lift of height $h$ moving vertically upward with acceleration $a$ . Find the time taken by the bolt to reach the floor of the lift.

\sqrt{\frac{2 h}{a + g}}

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\sqrt{\frac{2 h}{a}}

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\sqrt{\frac{2 h}{g}}

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\sqrt{\frac{h}{a + g}}

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Solution

The correct option is A $\sqrt{\frac{2 h}{a + g}}$
Acceleration of bolt wrt to lift is $α + g$ .
Time taken to cover h distance with initial velocity zero is calculated
$T = \sqrt{\frac{2 h}{α + g}}$ .

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A loose bolt falls from the roof of a lift of height h moving vertically upward with acceleration a. Find the time taken by the bolt to reach the floor of the lift.

The correct option is A √2ha+gAcceleration of bolt wrt to lift is α+g.Time taken to cover h distance with initial velocity zero is calculated T=√2hα+g.

A loose bolt falls from the roof of a lift of height $h$ moving vertically upward with acceleration $a$ . Find the time taken by the bolt to reach the floor of the lift.

The correct option is A $\sqrt{\frac{2 h}{a + g}}$
Acceleration of bolt wrt to lift is $α + g$ .
Time taken to cover h distance with initial velocity zero is calculated
$T = \sqrt{\frac{2 h}{α + g}}$ .