Question

The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

In all the options, acceleration is constant and positive.

Acceleration $a=\frac{dv}{dt}$ is the slope of the $v-t$ graph.

So, $v-t$ graph should be linear and it should be increasing (to have positive slope).

Velocity $v=\frac{dx}{dt}$ is slope of the $x-t$ graph. So $x-t$ graph should be quadratic.

$x$ $\propto$ $t^2$ (parabolic graph)

Hence, $\left(A\right)$ is the correct answer.