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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
Solution

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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