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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?

Respuesta :

AL2006
If the vertical and horizontal components of velocity are equal, then the object is moving in the direction of 45 degrees above the horizon.

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

  •  The angle is: θ = 45º

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

              [tex]cos \theta = \frac{v_x}{v} \\sin \theta = \frac{v_y}{v}[/tex]  

             vₓ = v cos θ

             [tex]v_y[/tex]  = v sin sin θ

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

           [tex]v_y = v_x[/tex]

          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:

  • The angle is:   θ = 45º

Learn more here: brainly.com/question/20261153

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