Projectile Motion A golfer hits a golf ball with an initial velocity of 100 miles per hour. The range R of the ball as a function of the angle () to the horizontal is given by R( ()) = 672 sin(2()), where R is measured in feet. (a) At what angle () should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)? (b) At what angle () should the ball be hit if the golfer wants the ball to travel 540 feet (180 yards)? (c) At what angle () should the ball be hit if the golfer wants the ball to travel at least 480 feet (160 yards)? (d) Can the golfer hit the ball 720 feet (240 yards)?

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