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Question

Question: The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of...

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

A

Increasing with time

B

Decreasing with time

C

Constant but not zero

D

Zero

Answer

Increasing with time

Explanation

Solution

As x t3\propto t^{3}

Velocity , v 3t2\propto 3t^{2}

Accelerations, a6ta \propto 6t