A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The foot ofthe ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot ofthe ladder at time tseconds is given by the parametric equations (7+2t,0)(a) The location of the top of the ladder will be given by parametric equations (0,y(t)).
. (Put your cursor in the box, click and a palette will come up to help you enter yoursymbolic answer.)
9 9(c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimalplaces):
(d) Find a time interval [a,9] so that the average velocity of the top of the ladder on this time interval is -20 ft/sec i.e.
(e) Using your work above and this picture of the graph of the function y(t)given below, answer these true/falsequestions: (Type in the word "True" or "False")