The distance s (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function s(t) = -0.1t^3 + 5t^2 + 28t (0 ≤ t ≤ 3). Calculate the motorcycle's average velocity over the time interval [2, 2 + h] for h = 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.)
h = 1: 51.1
h = 0.1: 47.239
h = 0.01: 46.8000
h = 0.001: 46.8000
h = 0.0001: 46.8
h = 0.00001
Use your results to guess the motorcycle's instantaneous velocity at t = 2. (Round your answer to one decimal place.)
ft/sec