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  • The speed-time graph of a particle moving along a fixed direction is shown in Figure. Obtain the distance traversed by the particle between (a) t = 0 s to 10 s

Q 3.27  The speed-time graph of a particle moving along a fixed direction is shown in Figure. Obtain the distance traversed by the particle between

(a) t = 0 s to 10 s

What is the average speed of the particle over the intervals in (a) and (b)?

Answers (1)

best_answer

The distance traversed by the particle equals the area under the speed time graph

The area under the curve is

\\A=\frac{1}{2}\times 10\times 12\\ A=60\ m

The particle has travelled a distance of 60 m from t=0 s to t=10 s.

The average speed over this interval is 

\\v_{avg}=\frac{60}{10}\\ v_{avg}=6\ ms^{-1}

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Sayak

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