Don't get this 2d motion problem?

AI Thread Summary
The problem involves calculating the speed at which a second player must run to catch a football kicked at a 40-degree angle with an initial speed of 14.0 m/s, while standing 26.0 m away. The player must reach the ball just before it hits the ground, ignoring air resistance. To solve this, one must determine the time it takes for the ball to reach the ground and then use that time to calculate the required running speed. The key concept is understanding the projectile motion of the ball and the horizontal distance covered. The solution requires applying kinematic equations for both the ball's trajectory and the runner's motion.
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don't get this 2d motion problem??

Homework Statement


a player kicks a football at an angle of 40.0 degrees above the horizontal with an initial speed of 14.0 m/s. Air resistance may be ignored. A second player standing at a distance of 26.0m from the first(in the direction of the kick) starts running to meet the ball at the instant it is kicked. How fast must he run in order to catch the ball just before it hits the ground?


Homework Equations





The Attempt at a Solution

 
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i don't get the concept at how to do this when the question asks me "to catch the object before it hits the ground"
 


Just assume the player catches the ball a tiny tiny amount (effectively 0 meters) above the ground.
 
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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