How Far Can a Ball Travel Based on Launch Conditions?

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The discussion focuses on calculating how far a ball can travel based on its launch conditions, emphasizing the importance of energy conservation in determining the ball's speed before impact. It notes that traditional kinematic equations may not apply due to the non-constant acceleration of the pendulum ball. The original poster successfully resolved their query and expressed gratitude for the assistance received. Overall, the conversation highlights the complexities involved in projectile motion and the need for appropriate equations based on specific scenarios. Understanding these principles is crucial for accurately predicting the distance a ball will travel.
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Distance ball will land??

Homework Statement



-Deleted Post thanks!
thanks for help! attained answer.

Homework Equations

The Attempt at a Solution

 
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You start by using energy conservation to find the speed of the ball just before it hits the other one. The kinematic equation that you wrote down does not work in this case because the acceleration of the pendulum ball is not constant.
 
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 .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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