Consider an archer who fi res an arrow. The arrow has a mass of 0.030 kg and leaves the bow with a horizontal velocity of 80 m/s. 

(a) What is the impulse imparted to the arrow? Give both the magnitude and direction of the impulse. 

(b) What is the approximate average force of the bow string on the arrow?

You will need to estimate the collision time, that is, the time two objects are in contact during a collision. For comparison, the collision time for a baseball–bat collision is approximately 0.001 s, while the time for a tennis racket–ball collision is about 0.01 s. In general, hard things produce short contact times and soft things lead to long contact times.