PROBLEM $2\mathrm{.}1(20$ Points$)$ A quarterback's throwing velocity is estimated by $v=\frac{d}{t},$ where $t$ is the time that it takes the football to travel distance $d.$ The quarterback makes $10$ throws at different distances, and the distance $d$ and time $t$ is measured for each throw. Assume that the measurements have the following resolution and accuracy:

$\backslash$table$[[$Measurement$,$Resolution,Accuracy $(\%$ of reading$)],[$Time$,0\mathrm{.}01$ s$,2\%$