Question

ASAP PLEASE HELP!! 50 POINTS

A buoy, bobbing up and down in the water as waves pass it, moves from its
highest point to its lowest point and back to its highest point every 10 seconds. The distance between its highest and lowest points is 3 feet.

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

b) Write an equation of a function that models the buoy with x=0 at its highest point.​

Answer 1

Answer/Step-by-step explanation:

Total Distance = 3Ft

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

Amplitude = 3/2 = 1.5 period = 10 second

`(0)/(1) =(2\pi )/(b)`
`b=(\pi )/(5)` No ph. Shift

b) Write an equation of a function that models the buoy with x=0 at its highest point.​

y= 1.5 cos (
`(\pi )/(5) x`)