This interactive figure will allow you to explore the motion of a point ([math]P[/math]) along a line by altering the velocity of the point along a line segment. [br][br]The [math]y[/math]-value of the sinusoidal function is the velocity of point [math]P[/math] as it moves along the line segment. Move the control points [math]A[/math], [math]B[/math], and [math]C[/math] of the graph of the sinusoidal function to explore the motion of point [math]P[/math]. The distance from the START point to [math]P[/math] is the [b]displacement[/b] of point [math]P[/math]. The [b]average velocity[/b] is the displacement divided by the time it took for the displacement to occur.[br][br]Explore the following: [br][list][*]Explore when [math]P[/math] moves the fastest or slowest or not at all. [br][/*][*]Explore when the velocity is negative. [br][/*][*]Explore where [math]P[/math] has the greatest acceleration.[br][/*][/list]

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