Question

An old biblical story tells of david an 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 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 warroir holding down both ends of the sling. by whirling the sling in a horizontal circle a warroir can release one end of the sling therefore allowing the projectile to fly in a straight line at high speed. In this problem we will assume that the sling when unfolded, was roughly 5.90 feet in total length. we will also assume the rock weighed a half a pound. if david whirled that sling to the point where the sling subtended and angle of 4.23 degrees with the horiznotal , with what speed did the rock strike Goliath (assume no air friction and that the drop in height to due to gravity is minimal). Supposed davied had missed . How far would the rock travel before striking the ground if David released it from a height of 4.65. Assume no air friction *warriors and hunters typically use a vertical circle We have choosen a horizontal circle for simplicity

Answer 1