Diameter of the Ferris Wheel =48 feet. The center is 28 feet off the ground. 8 seats are evenly spaced around

the circumference. Wheel rotates entirely in 60 seconds. If your ride last for 3 minutes. Whats the distance off the ground every 5 seconds?

Hello

the radius is 24 m, and if one tun takes 1 min = 60 sec, you turn 30° in 5 seconds. And the distance between the lowest point of the wheel and the ground is 4 m.
Now let x = 1 after 5 seconds, x = 2 after 10 seconds, ... x = 10 after 50 seconds, and so on.

The height at x*5 seconds is then
h = 24*sin(x*30 - 90) + 28

example:
after 15 seconds, x = 15/5 = 3 (you have moved 90° up)
h = 24*sin(3*30 - 90) + 28
h = 24*sin(90 - 90) + 28
h = 24*sin(0) + 28
h = 24*0 + 28
h = 28 m.

after 80 seconds, x = 80/5 = 16
h = 24*sin(16*30 - 90) + 28
h = 24*sin(480 - 90) + 28
h = 24*sin(390) + 28 = 40 m

Regards