[color=#000000]Suppose [/color][color=#980000]point [i]A[/i][/color][color=#000000] lies on a tire. At [/color][i]t[/i][color=#000000] = 0, [/color][color=#980000][i]A[/i] [/color][color=#000000]is on the ground. After the stopwatch starts, the tire starts turning to the right. [br][br]The path that [/color][color=#980000]point [i]A[/i][/color][color=#000000] takes as the wheel spins is called a [/color][b][color=#000000]cycloid[/color][/b][color=#000000]. [br][br]The applet below shows two complete turns of such a wheel of variable radius. [br](You can set this radius using the [b]RADIUS[/b] slider.)[br][br][/color][color=#000000]You can also adjust the speed at which the wheel turns with the [b]SPEED[/b] slider. [br] [br]Interact with the applet below for a few minutes. Then, answer the questions in your [i][b]Calculus with Parametric Curves[/b][/i] packet. [/color]