Chapter 12.3, Problem 18E

(a)

To determine

To Calculate: The velocity vector, speed, and acceleration vector of the object.

Given $\overrightarrow{r}\left(t\right)=\langle 4\cos t,\sin 3t,t^2\rangle ,t=\frac{\pi }{4}$

(b)

To determine

The velocity vector and acceleration vector of the object at the given value of t.

Given $\overrightarrow{r}\left(t\right)=\langle 2\cos t,\sin 3t,t^2\rangle ,t=\frac{\pi }{4}$