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Question

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

A
1230 m
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B
1030 m
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C
930 m
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D
1130 m
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Solution

The correct option is D 1130 m
Given, the speed of the car is v(t)=3t2+2t+3
and, distance S=t0v(t)dt
S=100(3t2+2t+3)dt=[t3+t2+3t]100
S=(103+102+3×10)(0)=1130 m

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