The Hogwarts School of Witchcraft and Wizardry has built a new skyscraper to house all the new students. The

skyscraper is named after one of its most famous students, Harry Potter. The Harry Potter skyscraper sways in

high-wind conditions. At t = 3 seconds, the top floor of the building swayed to a maximum of 60 cm to the right

(60 cm), and at t = 15 seconds, the top floor swayed to a maximum of 60 cm to the left (-60cm) of its starting

position.

Sketch a graph to show the motion of the skyscraper in terms of time, in seconds, for one cycle.