A Ferris wheel with a diameter of 40 meters completes one full revolution every 60 seconds. The center of the wheel is 25 meters above the ground. If a rider starts at the lowest point of the wheel at t=0, write a trigonometric function h(t) that models the rider height above the ground in meters.
A pendulum swings back and forth. Its horizontal displacement d (in cm) from the equilibrium position is modeled by a periodic function. At t=0, the pendulum is at its maximum rightward displacement of 10 cm. It returns to this position every 2 seconds. Write an equation for d(t).