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.