Motion in a Straight Line - Result Question 9

9. If the velocity of a particle is v=At+Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is :

(a) 32A+4B

(c) 32A+73B

(b) 3A+7B

(d) A2+B3

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Answer:

Correct Answer: 9. (c)

Solution:

  1. (c) Given : Velocity v=At+Bt2

dxdt=At+Bt2

By integrating we get distance travelled by the particle between 1s and 2s,

0xdx=12(At+Bt2)dt

x=A2(2212)+B3(2313)=3A2+7B3



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