v = f(h) = 4/400 – h , 0 < h < 400 expresses the speed (in ft/sec) of a ball in terms of its hcight, measured in fcet. (a) Sketch an accurate graph of the function v = f(h). (b) Give numerical evidence that supports or refutes the claim that when the ball is 100 feet above the ground the change in its speed is approrimately proportional to a small change in its height. Compute enough difference quotients (at least six) to suggest or refute a progression toward a limit. Estimate the proportionality constant (if it erists) to three significant figures. What are its units? Include units in all steps of your computations.

A car's position in feet t seconds after it starts moving is given by s(t)-9t/t. The average rate of change in position with respect to time is called average velocity %3D ) Find the car's average velocity over the first 4 seconds. DO NOT INCLUDE UNITS WITH YOUR ANSWER. i) Find the car's average velocity from t = 16 to t = 25 seconds. DO NOT INCLUDE UNITS WITH YOU ANSWER. i) What units would your answers from parts i and ii be in? O A. feet O B. feet per second OC. seconds O D. seconds per foot per foot O E. feet per second per second OF. seconds per foot

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