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Let us suppose that the displacement is given by, x = kt2 , where k is constant of proportionality.

Therefore, velocity of the body, v = dx/dt = d(kt2)/dt = 2kt

Since, velocity depends on time ,the body is not moving with uniform velocity....

Again, acceleration of the body, a = dv/dt = d(2kt)/dt = 2k

As the acceleration is independent of time , the body is moving with uniform acceleration..

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Q: If the displacement of a body is proportional to square of time will the body be moving with uniform velocity or uniform acceleration?
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