Physics Motion in a Straight Line NTA Abhiyas Question - Motion in One Dimensional MCQ (Single Correct)

Two objects P and Q, travelling in the same direction start from rest. While the object P starts at time t = 0 and object Q starts later at t = 30 rnin. The object P has an acceleration of 40 km /h 2 . To catch P at a distance of 20 km, the acceleration of Q should be

A
40 km/h 2
B
80 km/h
C
100 km /h 2
D
160 km /h 2

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Verified by Experts
The correct answer is:
D

160 km /h 2

According to question,

Object P starts at t = 0 and acceleration of P = 40 km/h 2

The time taken by object P to cover 20 km will be, s = ut + at 2

Where, u = 0, s = at 2

Here, a = 40 km/h 2

and s = 20 km

= 1 hour

Time taken by Q will be hour, because it started after 30 min.

The acceleration in Q,

= 2 x 4 x 20

= 160 km/h 2

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