Gujarati
Hindi
7. MOTION
medium

Study the speed-time graph of a car given below and answer the questions that follow

$(i)$ What type of motion is represented by $OA$ ?

$(ii)$ What type of motion is represented by $A B$ ?

$(iii)$ What type of motion is represented by $BC$ ?

$(iv)$ What is the acceleration of the car from $O$ to $A$ ?

$(v)$ What is the acceleration of the car from $A$ to $B$ ?

$(vi)$ What is the retardation of car from $B$ to $C$ ?

Option A
Option B
Option C
Option D

Solution

$(i)$ Velocity$-$time graph is a straight line inclined to the time axis from $0$ to $A$. This represents a uniformly accelerated motion.

$(ii)$ Velocity$-$time graph is a straight line parallel to time axis from $A$ to $B$. This represents uniform motion.

$(iii)$ The velocity$-$time graph is a straight line from $B$ to $C$ having a negative slope. This represents a uniformly retarded motion.

$(iv)$ Change in velocity $=40-0=40 m s ^{-1}$

Change in time $=10-0=10 s$

$a=\frac{\text { Change in velocity }}{\text { Change in time }}$

$=\frac{40}{10}=4 m s ^{-2}$

$(v)$ Since motion is uniform $a=0$

$(vi)$ Change in velocity $=0-40$

$=-40 m s ^{-1}$

Change in time $=50-30=20 s$

Standard 9
Science

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