# Answer to Question #17637 in Mechanics | Relativity for charles

Question #17637

an airplane flies at 200.00Km/hr with respect to the air. What is the velocity of the plane relative to the ground if it flies with

a. 50 km/hr tailwind?

b. 50 km/ hr headwind?

draw schematic and explain

a. 50 km/hr tailwind?

b. 50 km/ hr headwind?

draw schematic and explain

Expert's answer

a. 50 km/hr tailwind?

->

->& \

->& |\

->& gt;=|==0>-

->& |/

->& /

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The wind is rushing the airplane, so it's velocity increases:

V = 200.00[km/h] + 50[km/h] = 250[km/h].

b. 50 km/ hr headwind?

The wind is retarding the airplane, so it's velocity decreases:

& lt;-

& \& lt;-

& |\& lt;-

& gt;=|==0>-& lt;-

& |/& lt;-

& /& lt;-

& lt;-

V = 200.00[km/h] - 50[km/h] = 150[km/h].

->

->& \

->& |\

->& gt;=|==0>-

->& |/

->& /

->

The wind is rushing the airplane, so it's velocity increases:

V = 200.00[km/h] + 50[km/h] = 250[km/h].

b. 50 km/ hr headwind?

The wind is retarding the airplane, so it's velocity decreases:

& lt;-

& \& lt;-

& |\& lt;-

& gt;=|==0>-& lt;-

& |/& lt;-

& /& lt;-

& lt;-

V = 200.00[km/h] - 50[km/h] = 150[km/h].

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