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A physics student is adjusting the settings of their projectile launcher. If the VX =28 m/s and the Vy = 15 m/s, what is the magnitude of its velocity?32 m/s
13 m/s
43 m/s
1009 m/s

Respuesta :

Answer:

The first choice (32m/s) is the closest to the answer

Explanation:

The magnitude of a vector is the distance between the initial and the end point of the vector.

Being Vx and Vy the horizontal and vertical components of the vector V respectively, the magnitude of V is calculated as:

[tex]\mid \vec{V} \mid =\sqrt{V_x^2+V_y^2}[/tex]

The components of the velocity of the physics student's projectile launcher are Vx=28 m/s and Vy=15 m/s.

Calculate the magnitude of the velocity:

[tex]\mid \vec{V} \mid =\sqrt{28^2+15^2}[/tex]

[tex]\mid \vec{V} \mid =\sqrt{784+225}[/tex]

[tex]\mid \vec{V} \mid =\sqrt{1009}[/tex]

[tex]\mid \vec{V} \mid =31.8 \ m/s[/tex]

The first choice (32m/s) is the closest to the answer

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