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

Question

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 Y 1 L 25 ft ladder x t 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 30r ground b The domain of t values for y t ranges from to c Calculate the average velocity of the top of the lander 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 25 20 Put your cursor in the box click and a palette will come up to help you enter your symbolic answer

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