Physics Problem: Magnitudes and Components

AI Thread Summary
A hammer slides down a roof at a 32.0-degree angle, moving at a speed of 6.25 meters per second. The vertical component of the hammer's velocity is calculated as Vy = 6.25sin(32.0), resulting in approximately 3.44 m/s. The horizontal component is determined using Vx = 6.25cos(32.0), yielding about 5.21 m/s. The calculations are confirmed to be correct, and the discussion notes that the complexity increases if the hammer were to fall off the roof, but that is not a factor in this scenario. The focus remains on understanding the components of velocity at the edge of the roof.
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A hammer slides down a roof that makes a 32.0 degree angle with the horizontal.

a.) What are the magnitudes of the components of the hammer's velocity at the edge of the roof if it is moving at a speed of 6.25 meters per second?

b.) Calculate the components of the hammer's velocity at the edge of the roof.
 
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I have drawn a picture and attempted to do this problem but I'm not exactly sure where to start. Any help is appreciated!
 
Continued

I attempted to do this, but I think I just forced numbers (I know my picture is correct because the teacher gave it to us as a hint). I currently have Vy=6.25sin32.0 (3.44 m/s) with a magnitude of 32.0 degrees and Vx=6.25cos32.0 (5.21 m/s) with a magnitude of 58 degrees.
 
I think this solution is right.It maybe more complicated if it falls from roof.
 
Thanks for the help. I don't have to take into account the hammer falling off the roof.
 

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