Once in motion, a pendulum’s distance varies sinusoidally from 12 feet to 2 feet away from a wall every 12 seconds.
a. sketch the pendulum’s distance from the wall over a 1-minute interval as a function of time assume
= 0 corresponds to a time when the pendulum was furthest from the wall.
b. write a sinusoidal function for the pendulum’s distance from the wall, as a function of the time since it was
furthest from the wall.
c. identify two different times when the pendulum was 10 feet away from the wall. (hint: write an equation,
and solve it graphically.)