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) = ?0.1t3 + 3t2 + 24t
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
h = 0.1
h = 0.01
h = 0.001
h = 0.001
h = 0.0001
h = 0.00001
Use your results to guess at the motorcycle's instantaneous velocity at t = 2. (Round your answer to one decimal place.)
ft/sec