For the position function $s(t) = 20 \sin 3t$, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at $t = 0$.
Time Interval
Average Velocity
$[0,1]$
$[0,0.5]$
$[0,0.1]$
$[0,0.01]$
$[0,0.001]$