Chapter 12.3, Problem 7E

(a)

To determine

The velocity vector, speed and acceleration vector of the object for a provided position vector $\overrightarrow{r}\left(t\right)=\text{ +}2\cos t.\widehat{i}+2\sin t.\widehat{j}$ and at a given point $\left(\sqrt{\text{2}},\sqrt{\text{2}}\right)$.

(b)

To determine

The velocity vector and acceleration vector at the given point $\left(\sqrt{\text{2}},\sqrt{\text{2}}\right)$.

(c)

To determine

The sketch a graph and the velocity and acceleration vector at the given point.