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A head-butter can accelerate himself from rest to head-butting speed of 8.5 m/s. Since the upper body is involved in a properly executed head-butt, the effective mass of the head is 24kg. Assume the direction of the head moves at positive x direction and assume linear motion.

a) At the moment of impact, what impulse does the head butter produce?

b) If the head butter reaches the butting speed of 8.5 m/s in 0.5 seconds, what power must his muscles produce?

c) If he head-butts an opponent in the face and his head comes to rest in a time of 0.15 seconds, what is the magnitude and direction of the force that the opponent's face experiences?

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