Consider the position function s$($t$)=3$sint that describes a block bouncing vertically on a spring. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t$=(\backslash$pi $)/(2).[[[[$Time$],[$Interval$]],(\backslash$pi $)/(2),\backslash$pi $,(\backslash$pi $)/(2),(\backslash$pi $)/(2)+0\mathrm{.}1,(\backslash$pi $)/(2),(\backslash$pi $)/(2)+0\mathrm{.}01,[(\backslash$pi $)/(2),(\backslash$pi $)/(2)+0\mathrm{.}001][(\backslash$pi $)/(2),(\backslash$pi $)/(2)+0\mathrm{.}0001]$