(a) A particle of mass 4 kg moves under a force: F = 6t^2i - tj - 4k in Newtons. Assuming that the particle is initially at the origin with velocity v = i + k in m/s, find its position after 1s. (b) A ball of mass m travels with velocity 3 m/s and collides with a second ball with mass 2m at rest. After the collision the 2m ball moves with speed 1 m/s in a direction 60degrees to the original direction of the ball m. (i) What is the final velocity of the ball m ? (ii) What is the angle between the paths of the two balls after the collision ? If you could answer and explain how to do either or even both of these it will possibly save me from failing an exam tommorow .Hope you can help, Thanks !