Applications of Integration : Exercise 3

Introduction
Exercise 3 on Applications of Integration will focus on Kinematic Problems.

1. If the acceleration of a particle is given by a = t² + 5t, what is the velocity and distance traveled as a function of time?


2. A particle is moving along a straight line through a fixed point O with velocity 3ms^-1. Its acceleration, is given by a = 2t -4 with t is time in second after moving through point O. Find
   a) Its acceleration when the particle momentarily at rest.
   b) Total distance after 2s
   c) Its velocity after 3s
   d) Distance in fifth second