The position in feet of a race car along a straight track after t seconds is modeled by the function s(t)=5t²+4. Find the average velocity of the vehicle over the following time intervals: [2,2.1],[2,2.01],[2,2.001], and [2,2.0001]. Use the calculated averages to estimate the instantaneous velocity vᵢₘᵢₜ of the vehicle at t=2 seconds.
A) 29 ft/s
B) 30 ft/s
C) 31 ft/s
D) 32 ft/s