Question

Isabella is playing with her yo-yo. The vertical distance (in cm) between the yo-yo and her hand t seconds after she first spins it out is modeled by the following function: y(t) = 40 cos(2π/3t) - 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 -80 cm?

Answer 1

Step-by-step explanation:

2.1 there u go

Answer 2

The yo-yo takes a certain amount of time to fall all the way down and rise back up. We can find this time by solving an equation derived from the given function.

Step-by-step explanation:

The function representing the vertical distance (in cm) between the yo-yo and Isabella's hand at time t seconds is given by: y(t) = 40 cos(2π/3t) - 71.

To find how long it takes for the yo-yo to fall all the way down from its peak and then rise up to a vertical distance of -80 cm, we need to find the values of t that satisfy the equation y(t) = -80.

Next, we solve the equation: 40 cos(2π/3t) - 71 = -80. From there, we can find the values of t that satisfy the equation and determine the time it takes for the yo-yo to fall all the way down and rise back up to a vertical distance of -80 cm.