Question

The distance versus time graph of a particle moving is shown below.
What does the graph indicate?

• A. The particle starts with certain velocity with retardation and finally comes to rest.
• B. The velocity of the particle is constant.
• C. The acceleration of the particle is uniform throughout.
• D. The particle starts with a certain velocity and finally becomes uniform after certain time.

Answer 1

The correct option is C The acceleration of the particle is uniform throughout.

As can be inference by the graph we have a parabola passing through origin hence equation of motion is $y=k{t}^2$

its velocity is $v=\frac{dy}{dt}=2kt$

$acceleration=a=\frac{dv}{dt}=2k$

hence acceleration of object is constant and uniform throughout the motion.