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Q.

The acceleration of a particle moving in a straight line is given by a =2t m/s2. The velocity of the particle at time t = 0 is 2 m/s. The velocity after 2 seconds will be

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a

2 m/s

b

8 m/s

c

6 m/s

d

4 m/s

answer is A.

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Detailed Solution

detailed_solution_thumbnail

    dvdt=a   ⇒dv =a dt =2t dt ⇒∫vivfdv =∫022t dt

vf-vi = 12×2×4 = 4 m/s

vf = vi+4 = 2+4 = 6 m/s

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