A soccer ball was kicked toward the goal. the horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . what is the magnitude of the resultant velocity of the soccer ball?

Respuesta :

The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .

Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component  of velocity be [tex]V_{y}[/tex].

The magnitude of the resultant velocity will be represented by V.

So, we can write

The horizontal component of velocity = [tex]V_{x}[/tex] = 22 m/s

The vertical component  of velocity = [tex]V_{y}[/tex] = 12 m/s

The relation between horizontal component, vertical component and resultant velocity is,

[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]

On substituting value of horizontal component and vertical component, we get

[tex]V^{2}[/tex] = [tex](22)^{2} + (12)^{2}[/tex]

[tex]V^{2}[/tex] = 484 + 144

[tex]V^{2}[/tex] = 628

V = [tex]\sqrt{628}[/tex]

V = 25.06 m/s

The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .

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