Recall the following facts from the classroom task:
• The Ferris wheel has a radius of 25 feet
• The center of the Ferris wheel is 30 feet above the ground
Due to a safety concern, the management of the amusement park decides to slow the rotation of the Ferris wheel from 20 seconds for a full rotation to 30 seconds for a full rotation.
Calculate how high a rider will now be 2 seconds after passing position A on the diagram.
Calculate the height of a rider at each of the following times t, where t represents the number of seconds since the rider passed position A on the diagram. As you calculate each height, plot the position on the diagram. Connect the center of the circle to the point you plotted. Then draw a vertical line from the plotted point on the Ferris wheel to the line segment A F in the diagram.