A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time $t$ is $h(t) = 30t - 4.9t^2$ m.
Compute the stone's average velocity $\bar{v}$ in m/s over the time intervals $[3, 3.01]$, $[3, 3.001]$, $[3, 3.0001]$ and $[2.9999, 3]$, $[2.999, 3]$, $[2.99, 3]$.