Question

If displacement of a particle is directly proportional to the square of time. Then particle is moving with

• A. Uniform acceleration
• B. Variable acceleration
• C. Uniform velocity
• D. Variable acceleration but uniform velocity

Answer 1

Answer: (A)

Uniform acceleration

Answer 2

Given that $x \propto t^{2}$or $x = Kt^{2}$ (where K= constant)

Velocity (v) $= \frac{dx}{dt} = 2Kt$ and Acceleration (1) $= \frac{d\upsilon}{dt} = 2K$

It is clear that velocity is time dependent and acceleration does not depend on time.

So we can say that particle is moving with uniform acceleration but variable velocity.