A professional golfer is examining a video of a practice swing. The high‑speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only Δ t = 0.771 ms, and the radar gun clocks the speed of the ball as v b = 146 mph after it comes off the club. The golf ball has a mass of m b = 45.9 g. What is the magnitude of the impulse imparted to the ball by the club?