1. A particle $P$ moves along the $x$-axis.

At time $t$ seconds $(t⩾0)$ the acceleration, $am/{s}^{2}$ , of $P$ is given by $a=6t-16$

When $t=0$, $P$ is at the origin and is moving with velocity 12 $m/s$.

Find an expression in terms of $t$ for

(i) the velocity of $P$ at time $t$ seconds

(ii) the displacement of $P$ at time $t$ seconds.