Magnitude of the average acceleration

AI Thread Summary
To calculate the magnitude of the average acceleration of the Super Ball, the formula used is (v2 - v1) / (t2 - t1), where v1 is the initial velocity (27.0 m/s) and v2 is the final velocity (-19.0 m/s, since it's in the opposite direction after bouncing). The time interval is 0.00365 seconds. The correct calculation involves ensuring the velocity signs are accounted for, leading to a negative value for v2. The final magnitude of the average acceleration is determined by taking the absolute value of the result from the calculation.
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A 49.0-g Super Ball traveling at 27.0 m/s bounces off a brick wall and rebounds at 19.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.65 ms, what is the magnitude of the average acceleration of the ball during this time interval?


I converted 3.65 ms to 0.00365 s and I know I need to use (v2-v1/t2-t1) but everytime I try to figure this problem out I am getting lost and coming up with the wrong answer somehow.
 
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nevermind I figured it out :)
 
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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