Velocity - time graph of an ascending passenger lift is as in figure shown below (i) Identify kind o

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7. MOTION

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The velocity$-$time graph of an ascending passenger lift is as in the figure shown below

$(i)$ Identify the kind of motion of lift represented by lines $OA$ and $BC$.

$(ii)$ Calculate the acceleration of the lift

$(a)$ During the first two seconds.

$(b)$ Between the $3^ {r d}$ and $10^ {t h}$ second.

$(c)$ During the last two seconds.

Option A

Option B

Option C

Option D

Solution

$(i)$ Motion is represented by lines $OA$ and $BC$ which are uniformly accelerated and uniformly retarded motion.

$(ii)$ The acceleration of the lift

$(a)$ During the first two seconds (from $OA)$

$a=\frac{(v-u)}{t}=\frac{4.6-0}{2}=2.3 m s ^{-2}$

$(b)$ Between third and tenth second, the graph is a straight line parallel to the time axis. Hence, motion is uniform, acceleration $=0$

$(c)$ During the last two seconds (from $BC$)

$a=\frac{(v-u)}{t}=\frac{0-4.6}{12-10}=\frac{-4.6}{2}=-2.3 m s ^{-2}$

Standard 9

Science

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