A small airplane flies at 60 m/s relative to the air. The wind is blowing at 20 m/s to the south. The pilot heads this plane east. a) What is the speed, v, that the plane will travel relative to the ground

Respuesta :

Answer:

[tex]V_g=63.3m/s[/tex]

Explanation:

From the question we are told that:

Speed of Plane [tex]v_s=60m/s[/tex]

Wind speed [tex]V_w=20m/s[/tex]

Generally the equation for Speed of plane relative to the ground V_g is mathematically given by

 [tex]V_g=\sqrt{V_s^2+V_w^2}[/tex]

 [tex]V_g=\sqrt{60^2+20^2}[/tex]

 [tex]V_g=\sqrt{4000}[/tex]

 [tex]V_g=63.3m/s[/tex]