What were the velocity and direction of the glass as it fell?

AI Thread Summary
The discussion focuses on determining the velocity and direction of a glass as it falls off a table. To find the initial velocity, participants suggest using equations for horizontal and vertical motion, emphasizing the need to eliminate time from the equations. The height of the table and the distance from the edge are provided to aid in calculations. The angle of impact is calculated using trigonometry, resulting in a direction of approximately 29.3 degrees clockwise from the horizontal. The conversation highlights the importance of setting up simultaneous equations to solve for both velocity and time.
waldvocm
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A glass is slid across a table top, goes off the edge and falls to the floor. The table is 0.860m high and the glass lands 1.53m from the edge.
a)With what velocity did the glass leave the table top?
b)What was the direction of the glass's velocity(degrees clockwise from the horizontal)as it hit the ground?

For a) I believe that I have to find the x component of velocity.

xf=xi+vxit+.5axt^2 But I don't know the time either!

b) tan(0.860/1.53)= 29.3degrees
 
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Hi waldvocm! :smile:

(try using the X2 tag just above the Reply box :wink:)

For a), call the time t, and do two equations, one for x and one for y. Then eliminate t.

What do you get? :smile:
 
I am not sure that I follow. Do you mean a quadratic equation?
 
How can I find the time if I don't know the velocity?
 
Call the velocity v, call the time t, get two equations which both contain v and t.

That's two equations with two unknowns, so you should be able to find both of them.
 
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