Question Detail
Question
The acceleration a of a particle varies with time t as a = bt + c where b and c are constants. What will be the velocity of the particle which starts from rest after the time t?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Velocity v = ∫ a dt = ∫ (bt + c) dt = (1/2)bt² + ct + constant. At t=0, v=0 so constant=0. Thus v = (1/2)bt² + ct.
Hint
Integrate acceleration to get velocity.