Question

Velocity of a Motorcycle 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 + 4t² + 26t (0 ≤ t ≤ 3)

Calculate the motorcycle's average velocity (in ft/sec) 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 = 0.0001 ___________
h = 0.00001 ___________
Use your results to guess at the motorcycle's instantaneous velocity (in ft/sec) at t = 2. (Round your answer to one
decimal place.)
________________ ft/sec

(Students MUST show your work to receive full credit)

Answer 1