Write true or false for the following statements

Acceleration is defined as the rate of change of velocity.

The position$-$time graph for the motion of a car is given below

$(i)$ How far the car tavelled in the time interval $2$ to $6 s ?$

$(ii)$ During which interval of time its speed was more?

$(iii)$ Calculate the average speed of the car.

A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.

A body thrown in the vertically upward direction rises upto a height $'h^{\prime}$ and comes back to the position of its start.

Calculate :

$(a)$ the total distance travelled by the body and

$(b)$ the displacement of the body. Under what condition will the magnitude of the displacement be equal to the distance travelled by an object ?

What does the slope of a displacement$-$time graph represent ? Can displacement$-$time sketch be parallel to the displacement axis ? Give reason to your answer.