?[T] The position in feet of a race car along a straight track after t seconds is

Chapter 3, Problem 45

(choose chapter or problem)

[T] The position in feet of a race car along a straight track after t seconds is modeled by the function \(s(t)=8 r^{2}-\frac{1}{16} t^{3}\) .

a. Find the average velocity of the vehicle over the following time intervals to four decimal places:

i. [4, 4.1]

ii. [4, 4.01]

iii. [4, 4.001]

iv. [4, 4.0001]

b. Use a. to draw a conclusion about the instantaneous velocity of the vehicle at t = 4 seconds

Text Transcription:

s(t)=8t^2 = 1/16 t^3