Angle of Impact: Calculating with Velocity & Distance

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The discussion focuses on calculating the angle of impact for a ball rolling off a table, using projectile motion equations. Key equations include the time of impact, distance traveled, and velocity at impact, which are derived from basic physics principles. The original poster expresses confusion about applying the equations correctly but later realizes the problem relates to vector calculus. They successfully resolve their issue but seek assistance on how to delete the thread. The conversation highlights the intersection of physics and mathematics in solving motion-related problems.
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Homework Statement



A ball rolls off a table at speed v and impacts the floor at distance d.

What is the angle between the path of the ball and a vertical line drawn at the moment of impact.

Homework Equations



I have derived from basic projectile motion formulae:

Time of impact t = sqrt(2h/g)

Distance d = Vox * sqrt(2h/g)

Velcocity at impact = sqrt(Vox^2 - gt^2)

The Attempt at a Solution


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I don't really know where to start, I believe I have all the required information above but how do I apply it ?
 
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Is this correct ?

https://dl.dropboxusercontent.com/u/53341615/IMG_20150617_173554781.jpg

This is actually a mathematics topic question and should somehow relate back to vector calculus
 
Last edited by a moderator:
Nvm got it sorted. Can't figure out how to delete thread ?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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