A cricket ball of mass 0.15kg is bowled horizontally towards the east with a speed of 20ms−1. The batsman plays a square-cut so that the ball leaves his bat travelling due north at 16ms−1. The bat is in contact with the ball for 0.012s.
a. (i) Resolve the initial and final velocity vectors of the ball into mutually perpendicular east (+x) and north (+y) components.
b. (ii) Hence compute the x- and y-components of the change in momentum of the ball. Also find the magnitude and direction (with respect to the eastward axis) of this change.
c. (iii) Calculate the magnitude of the average force exerted by the bat on the ball during the impact.