Home Physics Motion in a Straight Line Relative Motion A man standing on the edge of the terrace of…
Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

A man standing on the edge of the terrace of a high rise building throws a stone vertically up with a speed of 20 m/s. Two seconds later an identical stone is thrown vertically downwards with the same speed of 20 m/s. Then :

A
the relative velocity between the two stones remain constant till one hits the ground
B
both will have the same kinetic energy when they hit the ground
C
the time interval between their hitting the ground is 2 seconds
D
if the collisions on the ground are perfectly elastic both will rise to the same height above the ground.

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The correct answer is:
CHECK THE SOLUTION

(a,b,c,d)

Relative Intial velocities

u r = 20 – (0) = 20 m/s

Relative acceleration

a r = 0

Relative velocity between them after time

v r = u r + a r .t

= 20m/s

= constant

⇒ is correct

⇒ Since they are thrown from same height

⇒ Speed is same after reaching ground

⇒ Same KE when they hit the ground

⇒ is correct

The time taken by the first stone to come to same height from where it was thrown.

=

∴ Time interval between two stone when both are at A and going downwards = 4 – 2 = 2s.

Since, relative velocity is Constant between them. So time interval between their hitting the ground = 2 s.

⇒ is correct

Option is obvious from conservation of energy.

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