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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.

Solution
$(i)$ The distance travelled under any section is calculated by finding the area of that section.
$(ii)$ Required ratio $=2: 1$
$(iii)$ In section $BC$, car has zero acceleration.
$(iv)$ Magnitude of acceleration is lower than retardation.
The magnitude of acceleration $=$ Slope of $AB =\frac{ V _{0}}{t}$
The magnitude of retardation $=$ Slope of $CD =\frac{2 V _{0}}{t}$