Figure 2.17 shows f(t) and g(t), the positions of two cars with respect to time, t, in minutes.
(a) Describe how the velocity of each car is changing during the time shown.

(b) Find an interval over which the cars have the same average velocity.

(c) Which of the following statements are true?

(i) Sometime in the first half-minute, the two cars are traveling at the same instantaneous velocity.

(ii) During the second half minute (from t = 1∕2 to t = 1), there is a time that the cars are traveling at the same instantaneous velocity.

(iii) The cars are traveling at the same velocity at t = 1 minute.

(iv) There is no time during the period shown that the cars are traveling at the same velocity.

Transcribed Image Text:

y (feet) 0.5 1 Figure 2.17 g(t) f(t) t (minutes)