An old Biblical story tells of David, a small warrior engaged in man-to-man combat with Goliath, a much larger adversary. In the story, David uses a sling to increase the speed of a projectile (in this case a rock), striking Goliath in the forehead and killing him. The type of sling often used in such combat consists of a long strip of cloth with a pouch halfway down its length. The rock is positioned in the pouch, with the warrior holding both ends of the sling. By whirling the sling in a horizontal circle, a warrior can release one end of the sling, thereby allowing the projectile to fly in a straight line at high speed. Historically, warriors and hunters typically used a vertical circle, but the circle used here is horizontal for simplicity. In this problem, assume that the sling, when unfolded, was roughly R = 5.90 ft in total length and that the rock weighed a half a pound. If David whirled the sling such that the sling was at an angle 0 = 5.03 below the horizontal, with what speed u did the rock strike Goliath? Assume there is no air friction and that the drop in height due to gravity is minimal. V= mph A typical break shot in pool (the opening shot) is about 20 mph with a ball that is about half the weight of the rock in the story. Considering this, what impact would a half-pound rock traveling at the calculated speed likely have on someone if it struck them in the forehead? The impact would likely cause serious injury. O The impact would hurt a little but would likely not cause any injury. Suppose David missed. What distance d would the rock travel before striking the ground if David released it from a height of H = 4.25 ft? Assume there is no air friction. d = ft Spage

An old Biblical story tells of David, a small warrior engaged in man-to-man combat with Goliath, a much larger adversary. In the story, David uses a sling to increase the speed of a projectile (in this case a rock), striking Goliath in the forehead and killing him. The type of sling often used in such combat consists of a long strip of cloth with a pouch halfway down its length. The rock is positioned in the pouch, with the warrior holding both ends of the sling. By whirling the sling in a horizontal circle, a warrior can release one end of the sling, thereby allowing the projectile to fly in a straight line at high speed. Historically, warriors and hunters typically used a vertical circle, but the circle used here is horizontal for simplicity. In this problem, assume that the sling, when unfolded, was roughly R = 5.90 ft in total length and that the rock weighed a half a pound. If David whirled the sling such that the sling was at an angle 0 = 5.03 below the horizontal, with what speed u did the rock strike Goliath? Assume there is no air friction and that the drop in height due to gravity is minimal. V= mph A typical break shot in pool (the opening shot) is about 20 mph with a ball that is about half the weight of the rock in the story. Considering this, what impact would a half-pound rock traveling at the calculated speed likely have on someone if it struck them in the forehead? The impact would likely cause serious injury. O The impact would hurt a little but would likely not cause any injury. Suppose David missed. What distance d would the rock travel before striking the ground if David released it from a height of H = 4.25 ft? Assume there is no air friction. d = ft Spage