Projectile Motion Ball Problem help

[Nanofan01]

Compressed air is used to fire a ball vertically upward from a -m-tall tube. The air exerts an upward force of on the ball as long as it is in the tube.

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

 

[kuruman]

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[tomcue]

To calculate the height reached by the ball, we need to use the equations of motion for projectile motion. The initial velocity of the ball is zero, since it is fired from rest. The acceleration due to gravity is always acting downward and is equal to 9.8 m/s^2. The force exerted by the compressed air on the ball is equal to its mass multiplied by the acceleration due to gravity.

Using the equation h = u^2/2g, where h is the maximum height, u is the initial velocity, and g is the acceleration due to gravity, we can calculate the height reached by the ball. In this case, u = 0, so the equation simplifies to h = 0. We can conclude that the ball does not go above the top of the tube.

However, if there is a certain amount of air resistance acting on the ball, the initial velocity will not be zero and the ball will reach a certain height above the top of the tube before falling back down. In this case, we would need to use more advanced equations of motion to calculate the exact height reached by the ball.