contestada

A small plane is initially flying due west with an airspeed (speed relative to the air) of 50 m/s. the plane flies into a-region where the wind is blowing toward the southwest at 20 m/s. if the pilot does not change the heading of the plane, the speed of the plane relative to the ground
a. is greater than

Respuesta :

velocity of plane with respect to air is given as 50 m/s towards west

[tex]v_{p/w} = 50 (-i)[/tex]

now speed of the wind is given as 20 m/s south west

[tex]v_{w} = 10\sqrt{2}(-i) + 10\sqrt{2}(-j)[/tex]

now the net speed with respect to ground is given as

[tex]v_{net} = v_w + v_{p/w}[/tex]

[tex]v_{net} = 10\sqrt2(-i) + 10\sqrt2(-j) + 50(-i)[/tex]

[tex]v_{net} = 64.14(-i) + 14.14(-j)[/tex]

so this speed with respect to ground is 65.7 m/s

this is greater than the speed with respect to air

Otras preguntas