Consider a rocket shot into the air that then returns to Earth. The height of the rocket in meters is given by $h(t)=75077\mathrm{.}3t-4\mathrm{.}9t^2,$ where $t$ is measured in seconds.

Compute the average velocity of the ball over the given time intervals.

a$.21\mathrm{.}99,22$ : $$

b$.22,22\mathrm{.}01$ : $$

c$.21\mathrm{.}999,22$ : $$

d$.22,22\mathrm{.}001$ : $$

Guess the instantaneous velocity of the rocket at $t=22.$