Using following data, draw time-displacement graph for a moving object : Time (s) 0 2 4 6 8 10 12 14

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7. MOTION

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Using following data, draw time-displacement graph for a moving object :

Time $(s)$ $0$ $2$ $4$ $6$ $8$ $10$ $12$ $14$ $16$

Displacement $(m)$ $0$ $2$ $4$ $4$ $4$ $6$ $4$ $2$ $0$

Use this graph to find average velocity for first $4\,\sec $, for next $4\,\sec $ and for last $6\,\sec $.

Option A

Option B

Option C

Option D

Average velocity for first $4\,\sec $

Average velocity $=\frac{\text { change in displacement }}{\text { Total time taken }}$

$v=\frac{4-0}{4-0}=\frac{4}{4}=1 \,ms ^{-1}$

For next $4\sec $ , $v=\frac{4-4}{8-4}=\frac{0}{4}=0 \,ms ^{-1}$

(or as $x$ remains the same from $4$ to $8\,\sec $, velocity is zero)

For last $6\,\sec , v=\frac{0-6}{16-10}=-\,1\,m s^{-1}$

Standard 9

Science

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medium

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Time $(s)$	$0$	$2$	$4$	$6$	$8$	$10$	$12$	$14$	$16$
Displacement $(m)$	$0$	$2$	$4$	$4$	$4$	$6$	$4$	$2$	$0$