The displacement of a particle is proportional to the cube of time ela – InterviewSolution

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1.

The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the body depend on the time elapsed?

Answer»

x ∝ t³ or x = kt³.

or, v = dx/dt = 3kt².

For acceleration,a = dv/dt = 3k(2t) = 6kt

⇒ a = 6kt ⇒ a ∝ t.

The acceleration is directly proportional to the time.

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