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The displacement of the body is given to be proportional to the cube of time elapsed. The magnitude of acceleration of body is ____________

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The displacement of the body is given to be proportional to the cube of time elapsed. The magnitude of acceleration of body is ____________

(a) Increasing with time

(b) Decreasing with time

(c) Constant but not zero

(d) Zero

I got this question during an interview.

The doubt is from Acceleration due to Gravity topic in portion Laws of Motion of Engineering Physics I

1 Answer

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The correct choice is (a) Increasing with time

Explanation: s=kt^3

Velocity=ds/dt=3kt^2

Acceleration=dv/dt=6kt

Clearly acceleration increases uniformly with time.

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