# What is the average speed of an object that is still at t=0 and accelerates at a rate of a(t) =2t^2-3t-3 from t in [2, 4]?

$v = {\int}_{2}^{4} \left(2 {t}^{2} - 3 t - 3\right) d t$
$\text{use the fallowing equation :}$
$v = {\int}_{2}^{4} a \left(t\right) d t$
$v = {\int}_{2}^{4} \left(2 {t}^{2} - 3 t - 3\right) d t$