Answer to Question #314164 in Trigonometry for eggs

Question

A passenger on a steamboat with a water wheel (see picture) notices an object that has become stuck on one of the paddles of the water wheel. She begins to keep track of its position above the water when it is at a point that is 7 m from the surface. The object then moved upwards to its highest point, 16 m above the surface of the water, then, 6 s later, to its lowest point 4 m below the surface of the water. a) Sketch a graph that represents the height of an object above the water, relative to the distance it has traveled for 2 rotations of the water wheel. Graph on the Separate Paper to. b) Determine an equation of the function, represented by this graph.

Answer 1

v=(16-4)/6=2m/s

It comes from 7 m to 16 m for (16-7)/2=4.5 s

$S=\int v(t)dt=2t+C$

As it is a periodic function. C=sin(2t)