As you ride a Ferris wheel, the motion of the Ferris wheel varies sinusoidallywith time

As you ride a Ferris wheel, the motion of the Ferris wheel varies sinusoidallywith time.

A Ferris wheel has a radius of 20m and completes one rotation in 40 sec-

onds. Passengers board on the Ferris wheel 1m above ground. The height of

the Ferris wheel varies sinusoidally with time so the distance of the Ferries

wheel from the ground can be represented using the equation below:

f(t) = a sin (bt + c) + d

Write the above equation stating the values of the constants. (Show all

the steps used to find the values of the constants).