EXAMPLE 3.7 Robin Hood shoots a pear the sound of horn, shown in ...

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EXAMPLE 3.7 Robin Hood shoots a pear the sound of horn, shown in Figure 3.19, Robin Hood aims directly at the toward it. His rivals In a festival competition, a he is to shoot his arrow, and at the same instant the pear initial position of the pear, seem- the great archer Robin Hood is challenged to hit a falling will be pear dropped with an from arrow. the top At of a tall making tower. no As allowance for the fact that the pear is dropping Show as the that arrow if the moves arrow is aimed directly at ingly assume that this is a mistake, the but it to will their always shock, hit he the hits pear, the regardless pear. of the pear's initial location or initial the speed initial (assuming position that neither pear nor arrow hits the ground first). of pear, y Line of sight to pear Path of pear h ? Does the arrow Notice that = hit the pear? Trajectory of arrow To x 80 S FIGURE 3.19 Robin Hood's shot. Kicking a field goal y EXAMPLE 3.6 For a field goal attempt, a football is kicked from a point on the Vo = ground that is a horizontal distance S from the goalpost. For the 20.0 m/s 3.05 m attempt to be successful, the ball must clear the crossbar, 10 ft To 30.0° x (about 3.05 m) above the ground, as shown in Figure 3.18. The ball leaves the kicker's foot with an initial speed of o di d2 20.0 m/s at an angle of 30° above the horizontal. What is the dis- tance d between kicker and goalpost if the ball barely clears the The ball can pass over the goalposts on the way upor of crossbar? on the way down, so there are two possible values 1. A FIGURE 3.18 Kicking a field goal. communical

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