A loose bolt falls from the roof of a lift of height $h$ moving vertically upward with acceleration $a$ . Find the magnitude of velocity of impact.

\sqrt{2 h (a + g)}

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\sqrt{h (a + g)}

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\sqrt{2 g (a + h)}

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\sqrt{2 a (h + g)}

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Solution

The correct option is A $\sqrt{2 h (a + g)}$
Solve this question by using relative velocity concept.
Acceleration of bolt wrt to lift is $α + g$ .
Final velocity after covering h distance with initial velocity zero is calculated
$v = \sqrt{2 h (α + g)}$ .

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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 magnitude of velocity of impact.

The correct option is A √2h(a+g)Solve this question by using relative velocity concept.Acceleration of bolt wrt to lift is α+g.Final velocity after covering h distance with initial velocity zero is calculated v=√2h(α+g).

A loose bolt falls from the roof of a lift of height $h$ moving vertically upward with acceleration $a$ . Find the magnitude of velocity of impact.

The correct option is A $\sqrt{2 h (a + g)}$
Solve this question by using relative velocity concept.
Acceleration of bolt wrt to lift is $α + g$ .
Final velocity after covering h distance with initial velocity zero is calculated
$v = \sqrt{2 h (α + g)}$ .