Describe the motion of a particle with position (x, y) as tvaries in the given interval....

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Describe the motion of a particle with position (x, y) as tvaries in the given interval. x = cost, y = cos t, 0 t VI 4 The particle moves along the parabola x = y. As t goes from 0 to 47, the particle moves from (, ) down to (,) (at t = ), back up to (,) again (at t = 2), and then repeats this entire cycle between t = 2 and t = 47. Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 2 + cos t y = 3 + sin t, 0 t 2T The motion takes place on a unit circle centered at (,). As t goes from 0 to 27, the particle makes 1 complete counter-clockwise rotation(s) around the circle, starting and ending at(, ). Describe the motion of a particle with position (x, y) as tvaries in the given interval. x = cost, y = cos t, 0 t VI 4 The particle moves along the parabola x = y. As t goes from 0 to 47, the particle moves from (, ) down to (,) (at t = ), back up to (,) again (at t = 2), and then repeats this entire cycle between t = 2 and t = 47. Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 2 + cos t y = 3 + sin t, 0 t 2T The motion takes place on a unit circle centered at (,). As t goes from 0 to 27, the particle makes 1 complete counter-clockwise rotation(s) around the circle, starting and ending at(, ).

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