Calculating Velocity of Mug Dropped from Counter

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AI Thread Summary
The discussion revolves around calculating the velocity of a beer mug that fell from a counter after being slid off. The mug traveled 1.40 meters horizontally and fell from a height of 0.860 meters. Participants discuss using the equations of motion to find the time of flight and horizontal velocity, noting that acceleration due to gravity is -9.80 m/s². There is also clarification on using the tangent function to determine the direction of the mug's velocity before impact. The conversation emphasizes the importance of calculating time to solve for horizontal velocity effectively.
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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 distrated and does not see the mug, which slikde off the counter and strikes the floor 1.40m from the base of the counter. If the height of the counter is 0.860m
a)With what velocity did the mug leave the counter?
b0What was the direction of the mug's velocity just before it hit the floor?

Homework Equations


my x-component is 1.40m and y-component is 0.86m
My initial equation would be vyf=vyi + ayt
which turns into (?) 0=visintheta(i)/g



The Attempt at a Solution


I have no idea on how to start computing for this problem. I have no angle for sine, and wouldn't my acceleration be -9.80m/s^2, being that we're dealing with height here?


Thanks so much in advance!
 
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What is the equation for vertical displacement?
 
its deta vector-R=vectorR(f)-vectorR(i)
 
innightmare said:
its deta vector-R=vectorR(f)-vectorR(i)

Yes, but I was referring to this one:

d = v1*t + (1/2)at^2

can you apply this equation in the vertical direction to this problem?
 
so what's the value of t? being that time wasnt a given here
 
innightmare said:
so what's the value of t? being that time wasnt a given here

t is what you need to calculate using the equation... getting t will then let you calculate the horizontal velocity.
 
Ooooh ok-got it. For b);
would i find the direction using this equation tantheta=y/x

Thank you so much
 
innightmare said:
Ooooh ok-got it. For b);
would i find the direction using this equation tantheta=y/x

Thank you so much

yes, tantheta = vy/vx.
 

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