Question: could you please explain step by step? (1 point) The graph below shows the total distance s, in miles, traveled by a bicyclist after t

could you please explain step by step?

(1 point) The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours. 40mi distance 35mi 30mi 25mi 20mi 15mi 10mi 5mi Omi time Ohr 0.5hr 1hr 1.5hr 2h 2.5hr 3hr 3 5h (a) Estimate the bicyclist's average velocity over the following time intervals. Over [0, 1], the average velocity is approximately 15 mi/hr. Over [1, 2.5], the average velocity is approximately 4.33 mi/hr. Over [2.5, 3.5], the average velocity is approximately 18 mi/hr. (b) Estimate the bicyclist's instantaneous velocity at the following times. At t = 12 hour, the instantaneous velocity is approximately 15 mi/hr. At t = 2 hours, the instantaneous velocity is approximately o mi/hr. At t = 3 hours, the instantaneous velocity is approximately 30 mi/hr. (c) Estimate the bicyclist's maximum velocity and the specific time at which it occurs. The maximum velocity is approximately 30 mi/hr, which occurs when t = 3
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