Kinematics of rolling ball question

AI Thread Summary
A physics student is struggling with a kinematics problem involving a ball rolling off a table 1.225 m high at a speed of 6 m/s. The correct approach involves focusing solely on the vertical motion, as the horizontal velocity does not affect the time it takes to hit the ground. The initial vertical velocity is zero, and the vertical displacement should be treated as negative. The appropriate equation to use is Distance = Vo + 1/2at^2, where the acceleration due to gravity is 9.8 m/s². The discussion emphasizes that the horizontal velocity is irrelevant for calculating the time of fall.
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Homework Statement



Hello, new here. I'm doing homework for my Honors Physics class, and I have a kinematics problem that seems simple enough, but I just can't get it. Help, please?

A ball is rolling on a table 1.225 m high at 6 m/s. After it rolls off, how long does it take to hit the ground?


Homework Equations



I used V^2= (Vo)^2 + 2a(X-Xo) to find final velocity, than used V= Vo+at to find time.


The Attempt at a Solution



V^2= (6 m/s)^2 + 2(9.8 m/s^2)(1.225 m) V= 7.7 m/s

t= (V-Vo)/a = (7.7 m/s - 6 m/s)/ 9.8 m/s^2 t= .17 s

I know this is wrong. My physics teacher told me to use Vx, not Vy, for Vo. I'm not quite sure how to go about this. Do I need to find the angle (which I'm not sure how to do in this problem) and use Vox= Vocos(theta)?

Any help would be appreciated. :redface:
 
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On the table the ball only had a horizontal velocity... that only affects horizontal displacement... it doesn't affect vertical displacement.

What is the initial vertical velocity? You have a vertical displacement of -1.225m.
 
It doesn't matter what the horizontal velocity is, the 6m/s is there to confuse you. Only consider the vertical motion, Use Distance= Vo + 1/2at^2 where Vo (the initial vertical velocity) is 0. Oh, and only consider the distance traveled to be negative if you consider the acceleration to be negative.
 
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