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.

In which of the following cases of motions, the distance moved and the magnitude of displacement are equal ?

Out of the three speed$-$time graphs shown below

Identify the graph for the following cases.

$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?

$(ii)$ A body decelerating to a constant speed and accelerating.

A driver of a train travelling at $40\, m s ^{-1}$ applies the breaks as a train enters a station. The train slows down at a rate of $2\, m s ^{-2} .$ The platform is $400\, m$ long. Will the train stop in time ?

Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds.