A machine that includes a rotating wheel sits on a workbench. The wheel has a diameter of 14 inches and completes one rotation every six seconds. At its highest position, a point on the rim of the...

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Extracted text: A machine that includes a rotating wheel sits on a workbench. The wheel has a diameter of 14 inches and completes one rotation every six seconds. At its highest position, a point on the rim of the wheel is 15 inches above the surface of a workbench. The initial position of Point A is at the bottom of the wheel. a- sketch a picture of the scenario b- identify the period, amplitude, phase shift, vertical shift. c- write a cosine equation that represents the height y, in inches, from the surface of the workbench to Point A as it rotates around the wheel for t seconds. d- at time t=4 seconds, how high is Point A from the surface of the workbench ?