On a day when the wind is blowing toward the south at 4 m/s, a runner jogs east at 5 m/s. What is the velocity (speed and direction) of the air relative to the runner

Respuesta :

Answer:

[tex]v=5m/s[/tex]

Direction:SW(south-west)

Explanation:

From the question we are told that

Velocity and direction of Runner [tex]V_r= 5m/s ,East[/tex]

Velocity and direction of Air[tex]V_a= 4m/s ,South[/tex]

Generally the the resultant velocity v is mathematically given as

[tex]v=\sqrt{V_a^2+V_r^2}[/tex]

[tex]v=\sqrt{4^2+5^2}[/tex]

[tex]v=5m/s[/tex]

The resultant velocity is towards the south-west

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