Differentiate parametric curves and integrate vector motion
Use exact values. Circular-function arguments are in radians
For this spatial motion, find v_y(0), v_z(0), a_x(0), and write the constant speed as speedc√d with positive square-free d. Use d=1 for rational speed. Position is in metres, time in seconds
\[\mathbf r(t)=\begin{pmatrix}2+4\cos(3t)\\-3+4\sin(3t)\\1+(-3)t\end{pmatrix},\quad t\ge0\]