Air Resistance Problem: Dropping two balls with different masses

Richard8786
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New user has been reminded to show their work on schoolwork problems
Homework Statement
A certain ping-pong ball has mass of 2.4 g and a terminal speed of 10.0 m/s as it falls through air. Suppose the same type of ping-pong ball is then filled with water such that it has a new mass of 21.6 g and it is dropped through the air. (a) Determine the acceleration of the water-filled ball as it falls at 10.0 m/s through the air. (b) Determine the terminal speed of the water-filled ball assuming that the air resistance is proportional to the square of the speed.
Relevant Equations
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I am not sure how to even start this problem.
 
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You are supposed to show some "good faith" attempt at a solution. See guidelines.
 
Richard8786 said:
I am not sure how to even start this problem.
Usual place: free body diagrams showing the forces acting in the different cases.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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