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.
$(i)$ 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 $CD =\frac{2 V _{0}}{t}$
Write true or false for the following statements
A body is said to be at rest, if it does not change its position with respect to the reference point.
Give examples to distinguish
$(i)$ Distance and displacement.
$(ii)$ Speed and velocity.
$(iii)$ Acceleration and retardation.
In your everyday life, you come across a range of motions in which
$(a)$ acceleration is in the direction of motion.
$(b)$ acceleration is against the direction of motion.
$(c)$ acceleration is uniform.
$(d)$ acceleration is non$-$uniform.
Can you identify one example each of the above type of motion ?
Which of the following is not a vector ?
A cyclist driving at $36\, km h^{-1}$ stops his cycle in $2\, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.