Chapter 2.1, Problem 22E

For the following exercises, consider an athlete running a 40-m dash. The position of the athlete is given by $d\left(t\right)=\frac{t^3}{6}+4t$ , where d is the position in meters and t is the time elapsed, measured in seconds.

22. [T] Compute the average velocity of the runner over the given time intervals.

1. [1.95, 2.05]
2. [1.995, 2.005]
3. [1.9995, 2.0005]
4. [2, 2.00001]