If the grist mill completes the rotation in 8 seconds. Then the final position of the bucket after 6 seconds is (0, 9).
<h3>What is coordinate geometry?</h3>Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0).
Then the coordinates of the bucket's location after 6 seconds will be
The angle of rotation after 6 seconds will be
Then we have
x = 9 cos 270°
x = 0
and y will be
y = 9 sin 270°
y = -9
But the angle is in a clockwise direction, then
y = 9
More about the coordinate geometry link is given below.
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