Assume two individuals, A and B, are traveling by car and

Chapter 2, Problem 2.9.5

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Assume two individuals, A and B, are traveling by car and initially are 400 miles apart on a highway. They travel toward each other, pass and then continue on. a. If A is traveling at 60 miles per hour, and B is traveling at 40 mph, write two functions, dA(t) and dB(t), that describe the distance (in miles) that A and B each has traveled over time t (in hours). b. Now construct a function for the distance DAB (t) between A and B at time t (in hours). Graph the function for 0 t 8 hours. c. At what time will A and B cross paths? At that point, how many miles has each traveled? d. What is the distance between them one hour before they meet? An hour after they meet? Interpret both values in context. (Hint: If they are traveling toward each other, the distance between them is considered positive. Once they have met and are traveling away from each other, the distance between them is considered negative.) e. Now construct an absolute value function that describes the (positive) distance between A and B at any point, and graph your result for 0 t 8 hours.