A ladder 25 feet long is leaning against the wall of a building. Initially, the foot...

 

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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 of the 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 of the ladder, its x coordinate, at time t seconds is given by x(t)=7+2t. wall 25 ft. ladder 7 ft ground. (a) Find the formula for the location of the top of the ladder, the y coordinate, as a function of time t. The formula for y(t)= in the box, click and a palette will come up to help you enter your symbolic answer.) . (Put your cursor (b) The domain of t values for y(t) ranges from (c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places): time interval ave velocity time interval ave velocity [0,2] [2,4] [8,9] [6,8] (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. a= (e) Using your work above and this picture of the graph of the function y(t) given below, answer these true/false questions: (Type in the word "True" or "False"). 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 of the 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 of the ladder, its x coordinate, at time t seconds is given by x(t)=7+2t. wall 25 ft. ladder 7 ft ground. (a) Find the formula for the location of the top of the ladder, the y coordinate, as a function of time t. The formula for y(t)= in the box, click and a palette will come up to help you enter your symbolic answer.) . (Put your cursor (b) The domain of t values for y(t) ranges from (c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places): time interval ave velocity time interval ave velocity [0,2] [2,4] [8,9] [6,8] (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. a= (e) Using your work above and this picture of the graph of the function y(t) given below, answer these true/false questions: (Type in the word "True" or "False").