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

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Let x be the displacement at time t of an object in motion.

Given, x = kt3, where k is a constant of proportionality.

Let u be the initial velocity of projection of body and v be the velocity of the same body while passing downwards through point of projection.

The displacement of body s = 0.

It means that the final speed is independent of mass of the body.

Hence, both the bodies will acquire the same speed while passing through point of projection.


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