Two Ferris wheels are rotating side by side at the Math Fair. The first Ferris wheel has a radius of 7m and makes one complete revolution every 16s. The bottom of the wheel is 1.5m above the ground.

The second Ferris wheel has a radius of 8m and completes one revolution every 20 s. The bottom of this wheel is 2m above the ground.

a) Write the equation of the first ferris wheel as a cosine function that models the height of one caras it goes around the Ferris wheel assuming that the car starts at the minimum at time zero. (show ALL calculations)

b) Write the equation of the second ferris wheel as a cosine function that models the height of one car as it goes around the Ferris wheel assuming that the car starts at the minimum at time zero. (show ALL calculations)

c) Which car (1 or 2)will be higher at a time of 6 seconds? How much higher? (show calculations)

d) Using a hand sketch, graph each function. Ensure you label the axis.

sketch graph on paper and write answers rather than typing them thanks