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Question

If a particle has velocity v(t)=4t+2 m/s, the average speed in 2 sec is

A
4 m/s
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B
8 m/s
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C
6 m/s
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D
5 m/s
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Solution

The correct option is C 6 m/s
We know that the average speed is given by ¯v=Total distance coveredTotal time taken
Also, total distance covered is given by
s=t0v(t)dt=20(4t+2)dt
s=[2t2+2t]20=2(4+2)=12 m
and total time taken is 2 sec
Hence, ¯v=122=6 m/s

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