Information from ${?}_{a-t}$ graph

A particle P starts from a point A and moves along a horizontal straight line. Its velocity $vcm{s}^{-1}$ after $t$ seconds is given by

$v(t)=\{\begin{array}{ccc}-2t+2,& \text{f}\text{o}\text{r}& 0t1\\ 3\sqrt[\phantom{2}]{t}+\frac{4}{t^2}-7,& \text{f}\text{o}\text{r}& 1t12\end{array}$

The following diagram shows the graph of $v.$

Find the initial velocity of $P.$

Find the value of $p.$

$[2$ marks$]$

$($i$)$ Find the value of $q.$

$[4$ marks$]$

$($ii$)$ Hence, find the speed of P when $t=q.$