The distance travelled by a body is proportional to the square of time. What type of motion this body has?

Let x be the distance travelled in time t. Then,

x∝ ${{t}^{2}}$

x= k${{t}^{2}}$

We know that velocity is given

v=dx/dt =2kt and acceleration is given by

a = dv/dt = 2k (constant)

Thus, the body has uniform accelerated motion.