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Study the speed$-$time graph of a body given below and answer the following questions
$(i)$ What type of motion is represented by $OA, AB$ and $BC$ ?
$(ii)$ Find positive and negative accelerations of the body.
$(iii)$ Find the distance travelled by the body from $A$ to $B$.
Solution
$(i)$ $OA$ is uniform acceleration, $A B$ is uniform motion (Zero acceleration $-$ moving with constant velocity) and $BC$ is negative acceleration (Retardation)
$(ii)$ Acceleration $=$ slope of graph between
$OA =(6-0) / 4=1.5 m s ^{-2}$
Negative acceleration $=$ slope of graph
$B C=(0-6) / 6=-1 m s^{-2}$
$(iii)$ Distance travelled is the area under the graph between
$A$ to $B=6 \times 6=36 m$
Similar Questions
The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.
| Time | Position (in $km$) | ||
| Person $A$ | Person $B$ | Person $C$ | |
| $8.00 \,am$ | $0$ | $0$ | $0$ |
| $8.05 \,am$ | $4$ | $5$ | $10$ |
| $8.10\, am$ | $13$ | $10$ | $19$ |
| $8.15 \,am$ | $20$ | $15$ | $24$ |
| $8.20\, am$ | $25$ | $20$ | $27$ |
$(i)$ Who is moving with constant speed ?
$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?
$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$
