What is the change in momentum of the ball during the collision?

A. \(1.4 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\)

B. \(1.8 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\)

C. \(2.9 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\)

D. \(5.1 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\)

A golf club has a lightweight flexible shaft with a heavy block of wood or metal (called the head of the club) at the end. A golfer making a long shot off the tee uses a driver, a club whose \(300 \mathrm{~g}\) head is much more massive than the \(46 \mathrm{~g}\) ball it will hit. The golfer swings the driver so that the club head is moving at \(40 \mathrm{~m} / \mathrm{s}\) just before it collides with the ball. The collision is so rapid that it can be treated as the collision of a moving \(300 \mathrm{~g}\) mass (the club head) with a stationary \(46 \mathrm{~g}\) mass (the ball); the shaft of the club and the golfer can be ignored. The collision takes \(5.0 \mathrm{~ms}\), and the ball leaves the tee with a speed of \(63 \mathrm{~m} / \mathrm{s}\).