The velocity vector is v(t)=The acceleration vector is a(t)=The velocity vector at t=0 written as a product of the speed anddirection is v(0)= The equation \( \mathbf{r}(t)=(4 \sin t) i+(4 \cos t) j+(4 t) \mathbf{k} \) is the position of a particle in space at time \( t \). Find the particle's velocity and acceleration vectors. Then write th 2 answers