Question Detail
Question
The acceleration of a particle is given by a(t) = (3 m/s⁴) t². If the particle is at rest at t = 0, find the velocity of the particle after t = 2 s.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Velocity v(t) = ∫ a(t) dt = ∫ 3t² dt = t³ + C. At t=0, v=0 so C=0. Then v(2) = 2³ = 8 m/s.
Hint
Integrate acceleration to get velocity.