Two vehicles approach an intersection: a truck moving eastbound at 16.0 m/s and an SUV moving southbound at 20.0 m/s. Suppose that the x-axis is directed eastward and the y-axis is directed northward. Find the magnitude of the velocity vector of the truck relative to the SUV.

Answer :

Answer:

The value of magnitude of the velocity vector of the truck relative to the SUV   [tex]V_{xy}= 25.62 \frac{m}{sec}[/tex]

Explanation:

Velocity of the truck [tex]V_{x}[/tex] = 16 [tex]\frac{m}{s}[/tex]

Velocity of the SUV [tex]V_{y}[/tex] = - 20 [tex]\frac{m}{s}[/tex]

The magnitude of the velocity vector of the truck relative to the SUV is

[tex]V_{xy} =\sqrt{ V_{x} ^{2} + V_{y}^{2}}[/tex]

Put the value of [tex]V_{x}[/tex] & [tex]V_{y}[/tex] in the above equation we get

[tex]V_{xy} = \sqrt{(16)^{2} + (-20)^{2}}[/tex]

[tex]V_{xy} = \sqrt{656}[/tex]

[tex]V_{xy}= 25.62 \frac{m}{sec}[/tex]

This is the value of magnitude of the velocity vector of the truck relative to the SUV.

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