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)).

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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")

10/31/2016hw02S2.18/11The foot of the ladder is moving along the ground at a constant rateThere is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 1 ft/secThere is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 0 ft/secThere is a time at which the average velocity of the top of the ladder on the time interval [a,9] is -100ft/secThere is a time at which the average velocity of the top of the ladder on the time interval [a,9] is lessthan -100 ft/secTF TF TF TF TF TF

10/31/2016hw02S2.1

6.4/4 points | Previous AnswersThe cup on the 9thhole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Yourball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assumethe ball travels 9 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system. Provide numericalanswers below with two decimal places of accuracy.

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