Solve Complex Sin Contest Question from 2003 | Exam Review Help

AI Thread Summary
The discussion revolves around a 2003 exam question where a child throws a ball at a 45-degree angle from 5 meters away from a 4-meter high fence. The key point is understanding that "just grazes the fence" means the ball reaches a height of 4 meters at the fence. Participants clarify that the lack of initial velocity is not an error, as the question focuses on the trajectory rather than specific speed. The problem requires calculating how far the ball lands beyond the fence, given its trajectory. The conversation highlights the importance of interpreting the question correctly for solving the physics problem.
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Sin contest question from 2003-- Can't figure this question... it's exam review! help

the questions is: A kid is 5m from a fence that is 4 m high. He throws a ball @ 45 degrees from the horizontal which just grazes the fence. How far beyond the fence does the ball land? You may assume that the ball was thrown from the same level as the ground on the far side of the fence

When the question says " just grazes the fence" how high does that mean and is there a mistake because the initial velocity is not given?
 
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It probably means it's 4m high at the moment it goes over the fence. So it's not a mistake that the initial velocity is not given.

Edit: I'm sorry i just realized that this is 3+ year old post -_-
 
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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