Jan observes a buoy bobbing up and down through a total amplitude of 8 feet. Beginning at the top of the wave, if the buoy completes a full cycle every 8 seconds, what is the height of the buoy relative to its lowest point after 12 seconds?
a. 8.0 feet
b. 0 feet
c. 4.0 feet
d. 12.0 feet
a. 8.0 feet
b. 0 feet
c. 4.0 feet
d. 12.0 feet
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So the total amplitude is 8 feet. That means the buoy drops down 4 feet and then rises back to it's starting point for one full amplitude.
It takes 8 seconds for a full cycle, or 4 seconds down and 4 seconds back up.
Where is the buoy after 12 seconds?
4 seconds down + 4 seconds back up + 4 seconds down means it is now 4 feet down.
EDIT: Oops! I didn't read the whole problem. It says, "where is the height of the buoy relative to its LOWEST point...?"
That means it is b. 0 feet.
:)
It takes 8 seconds for a full cycle, or 4 seconds down and 4 seconds back up.
Where is the buoy after 12 seconds?
4 seconds down + 4 seconds back up + 4 seconds down means it is now 4 feet down.
EDIT: Oops! I didn't read the whole problem. It says, "where is the height of the buoy relative to its LOWEST point...?"
That means it is b. 0 feet.
:)