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) = (2)³ = 8 m/s.
Hint
Integrate acceleration to get velocity.