sinusoidal word problems

9. A paintball is shot at a wheel of radius 40 cm. The paintball leaves a circular mark 10 cm from the outer edge of the wheel. As the wheel rolls, the mark moves in a circular motion. 40 cm 10 cm a) Assuming that the paintball mark starts at its lowest point, determine the equation of the sinusoidal function that describes the height of the mark in terms of the distance the wheel travels. b) If the wheel completes five revolutions before it stops, determine the domain and range of the sinusoidal function. c) What is the height of the mark when the wheel has wavelled 120 cm from its initial position