The acceleration function $($ in $\frac{m}{se{c}^2})$ and the initial velocity are given for the particle moving along a line.

$a(t)=2t+3,v(0)=6,0t5$

$($a$)(3$ pts$)$ Find the velocity at time $t.$

$($b$)(3$ pts$)$ Find the displacement during the given time interval.