"The Orbit" is a ride at an amusement park that rotates passengers seated 28 feet from the center of rotation at 1.8 radians/sec counterclockwise
A) Write a formula that gives the angle measure in radians swept out by a rider in t seconds. Use the variable a to represent the angle measure in radians.
B) How many seconds does it take The Orbit to make one full rotation?
C) Define a function f that gives a rider's horizontal distance in radii to the right of the vertical diameter in terms of a, the measure of the angle swept out from the 3 o'clock position on the circle
d) Define a function g that gives a rider's horizontal distance in feet to the right of the vertical diameter at t seconds since the rider passed the 3 o'clock position on the circle.
E)u 12 seconds after a rider passes the 3 o'clock position, how many feet above the horizontal diameter is the rider?