What is the Y-Component of a Baseball's Acceleration at Half Its Terminal Speed?

AI Thread Summary
The discussion centers on calculating the y-component of a baseball's acceleration when it is thrown straight up and reaches half its terminal speed. The drag force acting on the baseball is proportional to the square of its velocity. Participants are trying to derive the acceleration using the equations of motion, specifically F=ma and the forces acting on the baseball, including gravity and drag. The key question involves determining the acceleration when the baseball is at half its terminal velocity while ascending and descending. Understanding the relationship between terminal velocity and the forces involved is crucial for solving the problem.
pedro_infante
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Homework Statement


A baseball is thrown straight up. The drag force is proportional to v^2.
In terms of g , what is the y-component of the ball's acceleration when its speed is half its terminal speed and it is moving up? moving back down?

Homework Equations


F=ma
mg+bv^2=ma
mg-Bv^2=ma

The Attempt at a Solution


been trying to start it but I just don't see how.
 
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What is the acceleration "a" when the object is at terminal velocity?

Using your equations, what is the terminal velocity in terms of m, g, and b?

Now, what is "a" when you cut "v" in half?
 
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