Study the speed-time graph of a car given below and answer the questions that follow

$(i)$ What type of motion is represented by $OA$ ?

$(ii)$ What type of motion is represented by $A B$ ?

$(iii)$ What type of motion is represented by $BC$ ?

$(iv)$ What is the acceleration of the car from $O$ to $A$ ?

$(v)$ What is the acceleration of the car from $A$ to $B$ ?

$(vi)$ What is the retardation of car from $B$ to $C$ ?

Draw velocity-time graphs for the following situations

$(i)$ When body is moving with uniform velocity.

$(ii)$ When body is moving with variable velocity, but uniform acceleration.

$(iii)$ When body is moving with variable velocity, but uniform retardation.

$(iv)$ When body is moving with a variable velocity and variable acceleration.

A moving body is covering a distance directly proportional to the square of time. The acceleration of the body is

Study the speed$-$time graph of a body given below and answer the following questions

$(i)$ What type of motion is represented by $OA, AB$ and $BC$ ?

$(ii)$ Find positive and negative accelerations of the body.

$(iii)$ Find the distance travelled by the body from $A$ to $B$.

Can the distance travelled by a particle be zero when displacement is not zero ?