Chapter 12.3, Problem 9E

(a)

To determine

The velocity vector, speed and acceleration vector of the object for a provided position vector $\overrightarrow{r}\left(t\right)=\langle t-\sin t,1-\cos t\rangle$ and at a given point $\left(\pi ,\text{ 2}\right)$.

(b)

To determine

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

(c)

To determine

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