The accompanying graph shows the total distance s traveled by a bicyclist after t hours....

The accompanying graph shows the total distance s traveled by a bicyclist after t hours.

a. Estimate the bicyclist’s average speed over the time intervals [0, 1], [1, 2.5], and [2.5, 3.5].

b. Estimate the bicyclist’s instantaneous speed at the times t = 2 and t = 3.

c. Estimate the bicyclist’s maximum speed and the specific time at which it occurs.