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7. MOTION
medium
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 $B$.

Option A
Option B
Option C
Option D
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 $B=6 \times 6=36 m$
Standard 9
Science