ryerpigg
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Austin kicks a soccer ball with an initial velocity of 18.0 m/s at an angle of 35.0 degrees. what are the horizontal and vertical components of the initial velocity? round your answer to the nearest tenth

Respuesta :

JwArii

The answer is rounded to the nearest tenth, therefore the answer for the first is 14.7 m/s. And the second answer is 10.3 m/s.

Answer:

The horizontal component is 14.7[tex]\frac{m}{s}[/tex]

The vertical component is 10.3[tex]\frac{m}{s}[/tex]

Explanation:

When Austin kicks the soccer ball, the ball has a velocity with two components (please see the figure below)

The horizontal component is given by:

[tex]v_{x} =v.cos35[/tex]

if we replace the value for the velocity, we have:

[tex]v_{x} =18.cos35[/tex]

[tex]v_{x} =14.7\frac{m}{s}[/tex]

And the vertical component is given by:

[tex]v_{y}=v.sin35[/tex]

and replacing for the value for the velocity:

[tex]v_{y}=18.sin35[/tex]

[tex]v_{y}=10.3\frac{m}{s}[/tex]

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