Question: A car is traveling on a straight road on a stretch that contains cities A, B, C, \& D as shown below. The car travels from \(A\) to \(D\).

Suppose that the velocity of the car is given by

where \(t\) is measured in hours and \(\mathrm{r}(\mathrm{t})\) in \(\mathrm{mph}\).

1. Also suppose that at \(\mathrm{t}=0\) the car is at City \(\mathrm{A}\). How long does it take the car to make the trip? Show work.
2. For how long is the car within range of the station in City A? City B? Again, show work.

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document