Let t be the number of seconds elapsed after the wheel begins rotating counterclockwise. you find it takes 3 seconds to reach the top, which is 53 feet above the ground. the wheel is rotating 12 rpm and the diameter of the wheel is 50 feet. let d(t) be your height above the ground at time t.
a. argue that d(t) is a sinusoidal function, describing the amplitude, phase shift, period and mean.
amplitude:
phase shift:
period:
mean:
b. when are the first and second times you are exactly 28 feet above the ground? (enter your answers as a comma-separated list.)
t= sec
c. after 29 seconds, how many times will you have been exactly 28 feet above the ground?
times