A ferris wheel is 160 meters in diameter and boarded at its

A ferris wheel is 160 meters in diameter and boarded at its lowest point (6 O\'Clock) from a platform which is 8 meters above ground. The wheel makes one full rotation every 8 minutes, and at time t=0 you are at the loading platform (6 O\'Clock). Let h=f(t) denote your height above ground in meters after t minutes. What is the midline of the function h=f(t)?

Solution

A ferris wheel is 160 meters in diameter and boarded at its lowest point (6 O\'Clock) from a platform which is 8 meters above ground.

At its midline the ferris wheel is at a height of = distnace from ground at 6 O clock position + radius of wheel

= 8 +160/2 = 8 +80 =88mt