$If$ the vector function vec$(r)(t)=($:$2tsin(2t),5t-6,t^3-2t$:$)$ models the position $of$ a particle, what $is$ the velocity vector $of$ the particle?

vec$(v)(t)=($:$2,|,1$:$)$

What $is$ the velocity $of$ the particle $att=3?$ Round your answer $to3$ decimal places.

vec$(v)(3)=($:dots,:$)$

What $is$ the speed $of$ the particle $att=3?$ Round your answer $to3$ decimal places.

$||vec(v)(3)||=$