Calculating Velocity of Mug Dropped from Counter

In summary: So you would use the values you calculated for vx and vy to find the direction. In summary, the conversation is about a problem involving a beer mug sliding off a counter and striking the floor. The customer asks for the velocity and direction of the mug before it hit the floor. The solution involves using the equation for vertical displacement and calculating for time, as well as using the equation tantheta = vy/vx to find the direction.
  • #1
innightmare
35
0

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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  • #2
What is the equation for vertical displacement?
 
  • #3
its deta vector-R=vectorR(f)-vectorR(i)
 
  • #4
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?
 
  • #5
so what's the value of t? being that time wasnt a given here
 
  • #6
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.
 
  • #8
Ooooh ok-got it. For b);
would i find the direction using this equation tantheta=y/x

Thank you so much
 
  • #9
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.
 

1. How is velocity defined?

Velocity is defined as the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

2. What is the equation for calculating velocity?

The equation for calculating velocity is: velocity = (change in position)/(change in time). It can also be written as v = Δx/Δt where v is velocity, Δx is change in position, and Δt is change in time.

3. How do I measure the change in position?

The change in position can be measured by determining the distance an object has moved from its initial position to its final position. This can be done using a ruler or measuring tape.

4. How do I measure the change in time?

The change in time can be measured using a stopwatch or any other timing device. Start the timer when the object is dropped and stop it when it hits the ground. The difference between the two times is the change in time.

5. Can velocity be negative?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of its initial position. For example, if a mug is dropped from a counter and falls towards the ground, its velocity would be negative.

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