Trigonometric Functions · Paper 2 — Free Maths AA SL Practice Questions

A Ferris wheel at a theme park has a diameter of $40$ metres. The lowest point of the wheel is $2$ metres above the ground. The wheel completes one full revolution in $60$ seconds. A rider starts at the lowest point at time $t = 0$ seconds. The height $h(t)$ metres of the rider above the ground after $t$ seconds is modelled by $$h(t) = a\cos(bt) + c$$ where $a$, $b$, and $c$ are constants.