Solving Motion of a Ball Fired by Compressed Air

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The discussion revolves around calculating the height a 50g ball reaches when fired vertically from a 1.0-meter tube using compressed air that exerts a 2.0N upward force. The initial acceleration of the ball is determined to be 30.2 m/s² by applying Newton's second law. To find the ball's velocity as it exits the tube, a kinematics equation is suggested, which relates initial and final velocities, gravitational acceleration, and height. Participants emphasize the need to connect acceleration with the kinematic equations to solve for the maximum height above the tube. The conversation highlights the importance of understanding the relationship between forces, motion, and kinematics in solving the problem.
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Compressed air is used to fire a 50g ball vertically upward from a 1.0-m-tall tube. The air exerts an upward force of 2.0N on the ball as long as it is in the tube.



How high does the ball go above the top of the tube?



I used ma=F+mg to find acceleration and came up with 30.2 m/s^2. I think from here I need to use a kinematics equation to get the velocity of the ball just as it leaves the tube, but to find the height? I only have acceleration, I don't know which equation to use.
 
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Use the one connecting initial and final velos, g and the height.
 

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