A force F F\,F newtons acts on a particle of mass 2 kg for 3 seconds. At time t t\,t seconds after the force begins to act, F=6t+2F=6t+2F=6t+2. The force acts in the positive direction along a straight line. Initially the particle has velocity 4 m s-1 in the negative direction.
Find the impulse delivered by the force.
Find the velocity of the particle after 3 seconds.