Q.

A stone is projected vertically up from the ground with velocity 40 ms–1. The interval of time between the two instants at which the stone is at a height of 60 m above the ground is (g = 10 ms–2)

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a

4s

b

8s

c

12s

d

6s

answer is A.

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Detailed Solution

At h = 60 m velocity v2 - u2 =  2as

v2 = 402 - 2 x 10 x 60 = 1600 - 1200

v2 = 400  v = 20 m/s

For the required time interval, we can calculate by assuming it as time of flight for a body projected vertically upwards with initial velocity of 20m/s

t=2vg=2×2010=4s

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A stone is projected vertically up from the ground with velocity 40 ms–1. The interval of time between the two instants at which the stone is at a height of 60 m above the ground is (g = 10 ms–2)