Chapter 12.3, Problem 6E

(a)

To determine

The velocity vector, speed and acceleration vector of the object for a provided position vector $\overrightarrow{r}\left(t\right)=\left(\frac{1}{4}.t^2+1\right)\widehat{i}+t.\widehat{j}$ and at a given point $\left(3,\text{ 2}\right)$.

(b)

To determine

The velocity vector and acceleration vector at the given point $\left(3,\text{ 2}\right)$.

(c)

To determine

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