Magnitude of the Initial Velocity

AI Thread Summary
The discussion revolves around a physics problem involving a tennis ball rolling off a 65m high flat roof and landing 418m away. The time the ball is in the air is calculated to be approximately 3.64 seconds. To find the magnitude of the initial velocity, both horizontal and vertical components need to be considered, with the horizontal velocity derived from the distance and time. The assumption of ignoring air resistance simplifies the calculations, allowing for straightforward vector addition of the horizontal and vertical velocities. The conversation concludes with a clearer understanding of how to approach the problem.
Rose1996
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Homework Statement


A flat roof has a height of 65m above the ground. A tennis ball rolls off the edge of the roof and hits the ground at a point 418m horizontally from the edge of the roof.
A.) How much time is the ball in the air?
B.) What is the magnitude of the initial velocity?[/B]2. The attempt at a solution
I'm fairly positive that the answer to A is 3.64 seconds, but I'm having trouble understanding how to get the magnitude of the initial velocity and what it is exactly.
 
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The velocity has horizontal and vertical components. Assuming we are to ignore air resistance (the problem doesn't say, but that is usually assumed in these simple problems, where not stated otherwise), the horizontal component won't change while the vertical component will.

So if you have the time the ball is in the air and the horizontal distance traveled you can get the horizontal velocity by a simple division. The initial velocity will be the vector sum of that plus the initial vertical velocity.
 
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Okay, I think I get it now. Thank you so much!
 
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