Question

The nature of $s-t$ graph shown here is a parabola. From this graph we find that

• A. the body is moving with uniform velocity.
• B. the body is moving with uniform speed.
• C. the body is starting from rest and moving with uniform acceleration.
• D. the body is not moving at all.

Answer 1

Answer: (C)

$ s=u t+\frac{1}{2} a t^{2} ;$
When $u=0, s=\frac{1}{2} a t^{2}$
i.e., $s-t$ graph is a parabola symmetric about $s$ -axis.
Further, $s=\frac{1}{2} a t^{2}$ implies $\frac{d^{2} s}{d t^{2}}$ is independent of $t,$ i.e., the body is moving with uniform acceleration. So option (c) is correct.