Problem $11\mathrm{.}010-$ Particle motion: velocity and position from acceleration

The acceleration of a particle is defined by the relation $a=3e^{-0\mathrm{.}2t},$ where a and $t$ are expressed in $f\frac{t}{s^2}$ and seconds, respectively. Knowing that $x=0$ and $v=0$ at $t=0,$ determine the velocity and position of the particle when $t=0\mathrm{.}5s.$

The velocity and position of the particle when $t=0\mathrm{.}5s$ is

$f\frac{t}{s}$ and $$

$xft,$ respectively.