Use the interactive figure to explore how the position vector [math]\mathbf{r}(t)[/math], the velocity vector [math]\mathbf{v}(t)[/math], and the acceleration vector [math]\mathbf{a}(t)[/math], are related.[br][br]Click the button to cycle through several curves. Slide the slider [math]t[/math] to move the point [math]P[/math] along the curve, and study the interaction of the vectors [math]\mathbf{r}(t)[/math], [math]\mathbf{v}(t)[/math], and [math]\mathbf{a}(t)[/math].

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]