Corresponding to given v-s graph of a particle moving in a straight line, plot a-s graph.
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A
The given v-s graph is a straight line with positive slope (say m) and positive intercept (say c). Therefore, v-s equation is `v=ms+c` `rArr (dv)/(ds)=m` Now, `a=v.(dv)/(ds)=(ms+c)(m)` `a=m^2s+mc` a-s equation is a linear equation. Therefore, a-s graph is also a straight line with positive slope `(=m^2)` and positive intercept `(=mc)`. a-s graph is as shown below.
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Knowledge Check
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