Table 2 gives a car’s trip odometer reading (in miles) at 1 hour into a trip and at several nearby times. What is the average speed during the time interval from 1 to 1.05 hours? Estimate the speed at time 1 hour into the trip.

A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t) = t² + 3t + 2 feet to the right of a reference point, for t ≥ 0.

(a) What is the velocity of the object when the time is 6 seconds?

(b) Is the object moving toward the reference point when t = 6? Explain your answer.

(c) What is the object’s velocity when the object is 6 feet from the reference point?

Table 2 Trip Odometer Readings at Several Times Trip Meter 43.2 43.7 44.2 44.6 45.0 45.4 45.8 46.3 46.8 47.4 Time .96 .97 .98 .99 1.00 1.01 1.02 1.03 1.04 1.05