Chapter 12.3, Problem 16E

(a)

To determine

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

Given $\text{Position vector }r\left(t\right)=t^2.\widehat{i}+t.\widehat{j}+2\sqrt{t^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}}.\widehat{k},t=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)=t^2.\widehat{i}+t.\widehat{j}+2t^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}.\widehat{k},t=4$