If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?

Draw displacement$-$time graphs for the following situations

$(i)$ When body is stationary.

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

$(iii)$ When body is moving with variable velocity.

The velocity$-$time graph of a truck is plotted below

$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.

$(b)$ During which part of the journey was the truck decelerating ?

$(c)$ Calculate the magnitude of average velocity of the truck.

A motor bike running at $90 \,km h ^{-1}$, is slowed down to $54 \,km h^{-1}$ by the application of brakes, over a distance of $40\, m$. If the brakes are applied with the same force, calculate $(i)$ total time in which bike comes to rest $(ii)$ total distance travelled by bike.

Give an example of a body which covers a certain distance, but its displacement is zero