radius of 22
h = 22 sin t
revolution in 82 seconds
h = 22 sin(2π/82 t)
board at the bottom: use -cos instead of sine
board at h=3
h = 25 - 22 cos(2π/82 t)
A Ferris Wheel has a radius of 22 meters and can make a revolution in 82 seconds. Passengers board at the bottom, at a height of 3 m.
Write a sinusoidal equation that models a rider's height as a function of time (Use h(t) and t as your dependent and independent variables, respectively.)
2 answers
During the first two rotations, at what time and height does the instantaneous rate of change does ''h = 25 - 22 cos(2π/82 t)'' have the greatest positive value?