For the following exercises, consider an athlete running

a $40-\mathrm{m}$ dash. The position of the athlete is given by $d(t)=\frac{t^{3}}{6}+4 t, \quad$ where $d$ is the position in meters and $t$ is the time elapsed, measured in seconds.

IT] Compute the average velocity of the runner over the given time intervals.

a. $[1.95,2.05]$

b. $[1.995,2.005]$

c. $[1.9995,2.0005]$

d. $[2,200001]$