Calculating Velocity Vector Below Niagara Falls Edge

AI Thread Summary
To calculate the vertical distance below the edge of Niagara Falls where the water's velocity vector points downward at a 64.1-degree angle, the horizontal speed (Vox) is given as 3.59 m/s. The vertical component of velocity (Vy) can be determined using the tangent function, where Vy equals Vox multiplied by the tangent of 64.1 degrees. The vertical acceleration (Ay) is constant at -9.80 m/s² due to gravity. By applying kinematic equations, the depth can be calculated using the relationship between Vy, Vox, and the angle. The calculations will yield the required vertical distance below the edge of the falls.
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Suppose the water at the top of Niagara Falls has horizontal speed of 3.59m/s just before it cascades over the edge of the falls. At what vertical distance below the edge does the velocity vector of the water point downward at a 64.1 degree angel below the horizontal?

From this information I got
Ax=O
Vox=3.59
Y=?
Voy=?
Ay=-9.80
So i need to figure otu Voy can i do 3.59sin (64)??
And then what formula do I need to use??
 
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Here Vox remains constant. Voy = 0.
At a certain depth velocity is Vy.
Then Vy/Vox = tanθ. Find Vy and the depth.
 
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