Calculating Velocity of Mug Dropped from Counter

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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!
 
on Phys.org
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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