Q2. (a) a particle of mass 3 moves under a force
f = 3e^2t i + 3t j − 9 k
the particle is initially at the origin with velocity
v(0) = 2i - k
(i) find its position for all t
(ii) what is the angle between the paths of the two balls after the collision?
(b) a snooker cue ball of mass m travels with velocity 3 i and collides with a second snooker ball with mass 2m at rest. after the collision the 2m ball moves with speed 1 m/s in a direction 60◦ to the original direction of the cue ball. (i) what is the final velocity of the cue ball?
(ii) what is the angle between the paths of the two balls after the collision?