Projectile Motion(difficulty level-7)

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A football kicked at a 50-degree angle travels 20 meters before hitting the ground, with an initial speed of 14.1 m/s, a flight time of 2.2 seconds, and a maximum height of 5.94 meters. The discussion highlights the independence of the x and y components of motion, suggesting the use of equations for both components to solve for velocities. It emphasizes the relationship between initial vertical and horizontal velocities through the tangent of the angle. Participants express challenges in understanding how to derive the velocities from the given information. The conversation aims to clarify the problem-solving process for projectile motion.
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A football is kicked at an angle of 50 degrees and travels a distance of 20 m before hitting the ground.

What is the initial speed of the ball? (14.1 m/s)
How long is it in flight? (2.2 sec)
How high does it rise? (5.94 m)

I have the answers but I don't know where to go with the information that is given. If anyone could help explain this problem, it would be greatly appreciated! Thanks!
 
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difficulty level: 0.0000000000000000000000000000000000000000000000001

hint:
1. the x and y components are independent.
2. write down the equation for x and y component (the final v_y is -v_y)
3. the initial V_y and V_x are related by tan(theta)
4. you have 3 eq 3 unkn (v_x,v_y,t)... solve it
 
alrighty..i think i understand what your saying. Thanks! I just have problems understanding how to get the velocities. Thanks again!
 

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