AP Calculus Related Rates Test 2-a (redo) Mr. Dingman Name: Please answer the following showing all work where applicable. Please make sure that all solutions are labeled with the appropriate units. A jet flying at a rate of 720 miles per hour passes 2 miles over a radar installation (see figure to the right). (a) At what rate is the distance, d, between the radar and the jet changing when the jet is 120 miles down range of it? (b) At what rate is the angle of elevation of the dish down range distance changing when the jet is 120 miles down-range from it? (c) Consider the right triangle formed by the line between the jet and dish, the altitude over the dish, and the down range distance from the dish. At what rate is that triangle's area changing when the jet is 120 miles down range? 2. 30" A tub with a cross-sectional area of a right trapezoid (see figure to the left) is slowly filling with water at a 72" rate of 150In 24" (a) At what rate is the depth of the water changing when there is 6" of water in the tub? 64" hint... note how the height of the tub to its length is a 1:3 ratio. Also note that front to back the tub is a prism shape... V prism = Bh = [0.5(b, + b2)hjh