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An airplane flies at 100km/h in still air. If it flies into a 10 km/h headwind, its groundspeed is

A100 km/h
B110 km/h
C120 km/h
D90 KM/h

Verified Answer :

cainalex3535

its D.) 100-10 is 90 the plane is flying  in the 10 km/h wind at 100 km/h take away the resistance and you get your ground speed 

sebasacevedop

Answer:

D) \(90\frac{km}{h}\)

Explanation:

The groundspeed of the airplane is equal to the speed of the airplane in still air, plus the speed of the air. Since the plane flies with headwind, the sign of the air speed is negative, since it is contrary to the movement of the airplane.

Now, we have:

\(V_g=V_a+V_h\)

Here \(V_g\) is the airplane groundspeed, \(V_a\) the airplane speed and \(V_h\) the air speed

\(V_g=100\frac{km}{h}+(-10\frac{km}{h})=90\frac{km}{h}\)

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