The velocity of a particle is v = 3t² − 2t + 1 m/s. If its displacement at t=0 is zero, the displacement function s(t) is: A. t³ − t² + t B. 6t − 2 C. t³ − t² + t + C D. 3t³ − 2t² + t Answer: A) t³ − t² + t Explanation: s(t) = ∫v dt = ∫(3t² − 2t + 1)dt = t³ − t² + t + C. s(0) = 0 gives C = 0. So s(t) = t³ − t² + t.

imo class 12 indefinite integration

The velocity of a particle is v = 3t² − 2t + 1 m/s. If its displacement at t=0 is zero, the displacement function s(t) is:

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The velocity of a particle is v = 3t² − 2t + 1 m/s. If its displacement at t=0 is zero, the displacement function s(t) is:

Answer: A) t³ − t² + t

Explanation: s(t) = ∫v dt = ∫(3t² − 2t + 1)dt = t³ − t² + t + C. s(0) = 0 gives C = 0. So s(t) = t³ − t² + t.