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Question: An elevator in which a man is standing is moving upwards with a speed of 10m/s. If the man drops a c...

An elevator in which a man is standing is moving upwards with a speed of 10m/s. If the man drops a coin from a height of 2.45 meter, it reaches the floor of the elevator after a time :

(g = 9.8 m/s2)

A

2\sqrt{2}s

B

12\frac{1}{\sqrt{2}}s

C

2s

D

12\frac{1}{2}s

Answer

12\frac{1}{\sqrt{2}}s

Explanation

Solution

Since elevator in moving with constant velocity, thus

a = 0

 t = 2hg\sqrt{\frac{2h}{g}} = 2×2.459.8\sqrt{\frac{2 \times 2.45}{9.8}} = 12\frac{1}{\sqrt{2}}s