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Question

If the speed of a car is given as v=3t2+2t m/s, the average speed in 10 sec is

A
90 m/s
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B
110 m/s
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C
100 m/s
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D
120 m/s
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Solution

The correct option is B 110 m/s
Average speed of the car is given by Total distance covered (S)Total time taken (t)
Given, the speed of the car is v(t)=3t2+2t
and, distance =t0v(t)dt
S=100(3t2+2t)dt=[t3+t2]100
S=(103+102)(0+0)=1100 m
Thus, average speed of the car is 110010=110 m/s

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