Recent studies have raised concern about `heading' in youth soccer (i.e., hitting the ball with the head). A soccer player `heads' a size 5 ball, deflecting it by 36.0 deg, but keeping its speed of 10.40 m/s constant. A size 5 ball has a mass of approximately 0.416 kg.

a) What is the magnitude of the impulse which the player imparts to the ball?

b) If the player's head has a mass of 4.50 kg, what is the magnitude of the average acceleration of the player's head during the impact? Assume that over the brief time of the impact, 31.00 ms, the player's head can be treated separately from the player's body.