What's is 1/2(12-v)=1/6(v-6)
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Answer:
Step-by-step explanation:
Since the buoy is going up and down, its motion is oscillatory, and therefore, it can be described by a trigonometric function.
The buoy starts at height of 0 in relation to the sea level, which means at time ,
, this tells us that trigonometric function modeling the buoy must be the sine function since for
, at
,
.
The maximum displacement of the buoy in either direction is 6 feet, this means we have
now we need to figure out .
The time it takes the buoy to get from its lowest point to its highest point is 4 seconds, that means the period of oscillation is
seconds. The buoy returns to to the same place after one period, this means if the buoy started from 0, it will return to 0 after 8 seconds; therefore, from
the we have:
Now the final equation looks like