At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth. Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0, the buoy is at normal ocean depth.

Question

At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth.  Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0, the buoy is at normal ocean depth.

Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

oobleck · Answer

up2 and down 2 -- amplitude = 2 center line = -20 period = 4 so 2π/k = 4 y = -20 + 2sin(π/2 t)