Solving Motion of a Ball Fired by Compressed Air

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SUMMARY

The discussion focuses on calculating the height a 50g ball reaches when fired vertically upward by compressed air from a 1.0-meter-tall tube. The air exerts a constant upward force of 2.0N on the ball. The user calculated the acceleration using the formula ma = F + mg, resulting in an acceleration of 30.2 m/s². To determine the maximum height above the tube, the user needs to apply kinematic equations that relate initial and final velocities, gravitational acceleration, and height.

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grothem
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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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