While watching a soccer game at the Augie soccer field, I saw a ball kicked high. It landed on the roof of Pepsico, rolled up a bit, stopped, rolled down, then fell off the edge. It hit the ground out of bounds. It made me wonder if it might have landed inbounds, if it had started rolling from higher on the roof. Determine this for me.
a) Go to Pepsico and determine approximate dimensions as well as how far it is from the soccer field. On reserve in the library: notes that may help you approximate heights.
b) If the ball rolls from rest at the very peak of the building, how fast will it be going when it leaves the roof?
c) How far from the building will it land? Will it be inbounds? (Anybody know whether the ball would be in play if it were inbounds?!)
EXTRA CREDIT -- DUE NOV 9
A truck carrying a drill rig was found not to be street-legal, because there was too much weight on the rear axle -- the weight on that axle was 21,000 lb, but the maximum legal weight per axle is 20,000lb. The weight on the front axle was only 15,000 lb, so it was OK. A senior engineer suggested that heavy drill bits be carried around in the front rack of the truck to rectify the problem. If the distance between the axles is 20 feet, and the rack is 5 feet in front of the front axle, will this work (check to see that neither axle will be overloaded)? If it will, how many 5-foot-long, 81/4"-diameter, 200-lb bits must be carried around? Do you think this is practical?