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  • If the displacement of an object is proportional to square of time, then the object moves with (a) uniform velocity

If the displacement of an object is proportional to square of time, then the object moves with

(a) uniform velocity

(b) uniform acceleration

(c) increasing acceleration

(d) decreasing acceleration

Answers (1)

Ans. B

Sol.

If the object moves with uniform velocity, the displacement increases linearly with time. That means displacement will be proportional to time.

In case of uniform acceleration, we can use equation of motion.

v = u + at

s = ut + \frac{1}{2}

v^{2}=u^2 + 2as

If we observe the second equation of motion carefully for zero initial velocity, we will observe that displacement is proportional to the square of time.

s = \frac{1}{2}at^2

In case of variable acceleration, whether it is increasing or decreasing, the displacement will not be proportional to square of time.

Hence, the correct option is B.

Posted by

infoexpert21

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