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19. Uniform Motion Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving at a constant speed of 30 miles per hour. At the same time, the other car is 3 miles east of the intersection and is moving at a constant speed of 40 miles per hour.
Build a model that expresses the distance d between the cars as a function of time t.
[Hint: At , the cars are 2 miles south and 3 miles east of the intersection, respectively.]
(b) Use a graphing utility to graph . For what value of t is d smallest?
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