The following figure shows the position function of an airliner on an out-and-back trip from Seattle to Minneapolis, where s = f(t) is the number of ground miles from Seattle t hours after take-off at 6:00 a.m. The plane returns to Seattle 8.5 hours later at 2:30 p.m.

a. Calculate the average velocity of the airliner during the first 1.5 hours of the trip (0 ≤ t ≤ 1.5).

b. Calculate the average velocity of the airliner between 1:30 p.m. and 2:30 p.m. 17.5 ≤ t ≤ 8.5).

c. At what time(s) is the velocity 0? Give a plausible explanation.

d. Determine the velocity of the airliner at noon (t = 6) and explain why the velocity is negative.

Transcribed Image Text:

1600 - 1200 - s = f(t) 800 400 3 4 5 6. Time (hours) Position (miles from Seattle)