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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.

Respuesta :

Answer:25.61 m/s

Explanation:

Given

truck is moving eastbound with a velocity of 16 m/s

Velocity of truck [tex]v_t=16\hat{i}[/tex]

SUV is moving south with a velocity of 20 m/s

Velocity of SUV in vector form [tex]v_s=-20\hat{j}[/tex]

Velocity of truck relative to the SUV

[tex]v_{ts}=v_{t}-v_s[/tex]

[tex]v_{ts}=16\hat{i}-(-20\hat{j})[/tex]

Magnitude of relative velocity is

[tex]|v_{ts}|=\sqrt{16^2+20^2}[/tex]

[tex]|v_{ts}|=25.61\ m/s[/tex]                                                  

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