Highway travel A state patrol station is located on a straight north- south freeway. A patrol car leaves the station at 9:00 A.M. heading north with position function s = f1t2 that gives its location in miles t hours after 9:00 A.M. (see figure). Assume s is positive when the car is north of the patrol station.

a. Determine the average velocity of the car during the first 45 minutes of the trip.

b. Find the average velocity of the car over the interval 30.25, 0.754. Is the average velocity a good estimate of the velocity at9:30 A.M.?

c. Find the average velocity of the car over the interval 31.75, 2.254. Estimate the velocity of the car at 11:00 A.M. and determine the direction in which the patrol car is moving.

d. Describe the motion of the patrol car relative to the patrol station between 9:00 A.M. and 12:00 P.M.

9:30 A.M.?