What angle can you kick a football that will make the initial vertical component of the velocity equal to the initial horizontal component of the velocity?

Trigonometry allows finding the result for the angle for which the components of the velocity are equal is:  

Trigonometry allows you to find the component of the vectors with the relationships.

             vₓ = v cos θ

               = v sin sin θ

Indicates that the values of the two components are equal therefore.

          sin θ = cos θ

The only angle where the sine and cosine values are equal is 45º

In conclusion using trigonometry we can find the result for the angle for which the components of the velocity are equal is:

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