Home Physics Motion in a Straight Line Relative Motion A man is standing on top of a building 100 m…
Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s -2 )

A
20 m s -1 , 10 m s -1
B
10 m s -1 , 5 m s -1
C
16 m s -1 , 8 m s -1
D
30 m s -1 , 15 m s -1

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Verified by Experts
The correct answer is:
A

For first stone. Taking the vertical upwards motions of the first stone up to highest point

Here , (At highest point velocity is zero )

Or …… (1)

For second stone. Taking the vertical upwards motions of the second stone up to highest point

Here,

As

……… (ii)

As per questions

Subtract (i) From (ii), we get

On substituting the given information, we get

Or

Or and

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