A scooter starts from rest moves in a straight line with a constant acceleration and covers a distance of $64 \,m$ in $4 \,s$

$(i)$ Calculate its acceleration and its final velocity.

$(ii)$ At what time the scooter had covered half the total distance ?

What is the slope of the displacement $-$ time graph when the body has uniform motion ?

Under what condition will the displacement and distance have the same magnitude ?

A piece of stone is thrown vertically upwards. It reaches its maximum height in $3$ second. If the acceleration of the stone be $9.8\, m s ^{-2}$ directed towards the ground, calculate the initial velocity of the stone with which it is thrown upwards. Find the maximum height attained by it.

Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$

$(i)$ From a study of this graph, state how the distance travelled in any section is determined.

$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.

$(iii)$ In which section car has zero acceleration ?

$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.