Beer mug across counter direction of mugs velocity

AI Thread Summary
The discussion revolves around a physics problem involving a beer mug sliding off a counter and hitting the floor. The key equation derived for the initial velocity of the mug is Vinitial = d/sqrt(2h/g), where d is the horizontal distance from the counter, h is the height of the counter, and g is the acceleration due to gravity. Participants suggest breaking the motion into components to analyze the velocity direction just before impact. There is also a request for clarification on how to derive the initial velocity equation correctly. Understanding the components of motion is crucial for solving the problem accurately.
akbro93704
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Homework Statement


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor at distance d from the base of the counter. The height of the counter is h. With what speed did the mug leave the counter? Which I got Vinitial=d/sqrroot(2h/g). Now my question is what was the direction of the mugs velocity just before it hit the floor?


Homework Equations





The Attempt at a Solution


Would I have to break something up into components?
 
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akbro93704 said:

Homework Statement


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor at distance d from the base of the counter. The height of the counter is h. With what speed did the mug leave the counter? Which I got Vinitial=d/sqrroot(2h/g). Now my question is what was the direction of the mugs velocity just before it hit the floor?


Homework Equations





The Attempt at a Solution


Would I have to break something up into components?
Splitting it into perpendicular components seems like an excellent idea :approve:.
 
hmmm, how did you get that equation for Vinitial? i am trying to sift through all these formulas and i just can't seem to get the correct one. :confused:
 

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