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A particle starts from rest and moves in a straight line suc...

A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by v=(3t22t)ms1. Calculate the distance covered in the first 2 seconds.

A.

2m

B.

4m

C.

6m

D.

8m

Correct answer is B

v(t)=(3t22t)ms1

s(t)=v(t)dt

= (3t22t)dt=t3t2

s(2)=2322=84=4m