Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process

Displacement $(x)$ of a particle is related to time $(t)$ as:

$x = at + bt^2 -ct^3$

where $a, b$ and $c$ are constants of the motion. The velocity of the particle when its acceleration is zero is given by

A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{\text {th }}$ second and $115.0 \mathrm{~m}$ in $(n+2)^{\text {th }}$ second. The acceleration is :

A particle moves along $x$-axis in such a way that its $x$-co-ordinate varies with time according to the equation $x=4-2 t+t^2$. The speed of the particle will vary with time as

The distance travelled by a particle is directly proportional to $t^{1/2}$, where $t =$ time elapsed. What is the nature of motion ?

Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is