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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