Projectile Motion(difficulty level-7)

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SUMMARY

The discussion centers on calculating the initial speed, flight time, and maximum height of a football kicked at a 50-degree angle, which travels 20 meters before hitting the ground. The initial speed is determined to be 14.1 m/s, the flight duration is 2.2 seconds, and the maximum height reached is 5.94 meters. Key hints provided include the independence of x and y components, the relationship between initial velocities using the tangent of the angle, and the application of kinematic equations to solve for unknown variables.

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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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