15. Assume a police station is located along a straight east-west freeway. At noon (t=0), a patrol car leaves the station heading east. The position function of the car s = f(t) gives the location of the car in miles east (s >0) or west (s <0) of the station t hours after noon. s = f(t) n 0,5 1,0 1,5 2,0 2,5 3,0 3,5 Position (miles from station) 80 60 40 20 -20 Time (hours after noon) a) Describe the location of the patrol car during the first 3.5 hours of the trip. b) Calculate the displacement and average velocity of the car between 2PM and 330PM (2 ≤ t ≤ 3.5). c) At what time(s) is the instantaneous velocity greatest as the car travels east?

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15.
Assume a police station is located along a straight east-west freeway. At noon (t=0), a patrol car leaves the
station heading east. The position function of the car s = f(t) gives the location of the car in miles east (s >0)
or west (s <0) of the station t hours after noon.
Position (miles from station)
s = f(t)
n
1.0
1.5
2,0
80
60
40
20
-20
0,5
2.5
3,0 3.5
Time (hours after noon)
a) Describe the location of the patrol car during the first 3.5 hours of the trip.
b) Calculate the displacement and average velocity of the car between 2PM and 330PM (2 ≤ t ≤ 3.5).
c) At what time(s) is the instantaneous velocity greatest as the car travels east?
Transcribed Image Text:15. Assume a police station is located along a straight east-west freeway. At noon (t=0), a patrol car leaves the station heading east. The position function of the car s = f(t) gives the location of the car in miles east (s >0) or west (s <0) of the station t hours after noon. Position (miles from station) s = f(t) n 1.0 1.5 2,0 80 60 40 20 -20 0,5 2.5 3,0 3.5 Time (hours after noon) a) Describe the location of the patrol car during the first 3.5 hours of the trip. b) Calculate the displacement and average velocity of the car between 2PM and 330PM (2 ≤ t ≤ 3.5). c) At what time(s) is the instantaneous velocity greatest as the car travels east?
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