The position vector $\overrightarrow{\mathbf{r}}\mathbf{=}\mathbf{5}\mathbf{.}\mathbf{00}\mathit{t}\mathbf{}\hat{\mathbf{i}}\mathbf{+}\mathbf{(}\mathbf{e}\mathbf{t}\mathbf{+}\mathbf{f}{\mathbf{t}}^{\mathbf{2}}\mathbf{)}\widehat{\mathbf{}\mathbf{j}}$locates a particle as a function of time. Vector $\overrightarrow{\mathbf{r}}$is in meters, $\mathit{t}$is in seconds, and factors e and f are constants. Figure 4-31 gives the angle $\mathit{\theta }$of the particle’s direction of travel as a function of $\mathit{t}$($\mathit{\theta }$is measured from the positivedirection). What are (a) e, and (b) f, including units?

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