10 12 In the game of golf a stationary ball is hit by a club. One of the aims of the game is to land the ball on a patch of ground called the green. The graph shows how the force F exerted by the club on the ball varies with time t as the ball is hit. 0.5 0.4 0.3 0.2 0.1 0 6 5 4 3 2 1 0 t / ms F / kN (a) State why the area under the graph represents impulse. (1) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (b) (i) Show that the velocity of the ball is about 30 m s−1 immediately after it is hit by the club. mass of ball = 0.046 kg (3) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. Turn over 11 (ii) The ball has a time of flight of 3.5 s before landing. The green is a vertical distance of 7.5 m above the point at which the ball was hit, as shown. The green is about seventy metres away from where the ball is hit. flight of ball green 7.5 m ball hit at this point Deduce whether, if air resistance is ignored, the ball could land on the green after a flight time of 3.5 s. 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(Total for Question 12 = 9 marks) 12 BLANK PAGE