Solve for Initial Velocity: Football Field Goal Problem | No Air Resistance

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To solve the football field goal problem, the initial velocity must be calculated using projectile motion equations, considering a launch angle of 35 degrees and a distance of 45 meters. The goalpost height is 3.1 meters, which impacts the vertical component of the velocity needed to clear it. The horizontal motion can be analyzed using the equation D = Vi(t) + 1/2(a)(t^2), while the vertical motion requires ensuring the football reaches the necessary height. The discussion emphasizes the importance of breaking down the problem into its x and y components for accurate calculations. Properly applying these equations will yield the required initial velocity for the kick.
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Homework Statement



A football player kicks a field goal from a distance of 45m from the goalpost.
The football is launched at 35 degrees above horizontal.
What initial velocity is required so that the football just clears the goalpost crossbar that is 3.1m above the ground? ignore air resistance and dimension of ball.


Homework Equations


D = Vi(t) + 1/2(a) (t^2)

Vf^2 = Vi^2 + 2(a)(D)

Vf= Vi + (a)(t)


The Attempt at a Solution

 
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It would be nice if you actually attempted a solution. But you know what? I will give you a clue. Start with the x component.
 
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