Isabella is playing with her yo-yo. The vertical distance Y (in cm) between the yo-yo and her hand t seconds
after she first spins it out is modeled by the following function. Here, t is entered in radians.
Y(t) = 40 cos
27
3
- 71
How long does it take the yo-yo to fall all the way down from its peak, and then rise up to a vertical distance of
180 cm?
Round your final answer to the nearest tenth of a second.