Draw the displacement-time graphs for the following situations: (a) When the body is stationary. (b) When the body is moving with a uniform velocity. (c) When the body is moving with a variable velocity.

What kind of motion of a body is represented by OA, AB and BC in the graph given below.

A body moving with a velocity of $54 \mathrm{km}/\mathrm{h}$ comes to a halt in $10$ seconds. What is its (a) acceleration, and (b) retardation?                                

Find the initial velocity of a car which is stopped in $4$ seconds  by applying brakes. The retardation due to brakes is $5 \mathrm{m}/{\mathrm{s}}^2$.

An athlete starting from rest picks up a speed of $10 \mathrm{m}/\mathrm{s}$ over a distance of $100 \mathrm{m}$. Find the acceleration and the time in which he completes the race.

Differentiate between (a) circular motion and rotational motion, (b) uncontrolled motion and controlled motion, (c) linear motion and circular motion.

Displacement time graphs are shown below. Draw the approximate v-t graphs.