Pizza Delivery Problem: Ida Livermore starts off on her route. She records her trucks

Chapter 2, Problem 19

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Pizza Delivery Problem: Ida Livermore starts off on her route. She records her trucks speed, v(t), in mi/h, at various times, t, in seconds, since she started. a. Show Ida that these data fit the equation v(t) = 5t1/2. t (s) v (t) (mi/h) 0 0 1 5 4 10 9 15 16 20 b. The trucks acceleration, a(t), is theinstantaneous rate of change of v(t).Estimate a(9) by using v(9) and v(9.001).Make a conjecture about the exact valueof a(9). What are the units of a(t)?c. Note that a(9) is exactly equal to the limitof [v(t) v(9)] / (t 9) as t approaches 9.Factor the denominator as a differenceof two squares. Then find the limit ast approaches 9 by applying the limitproperties. Does this limit agree with yourconjecture in part b? d. Approximately how far did Idas truck travelfrom t = 1 to t = 9?