Hi, this is my first time posting here, and i was working out this physics problem and it occurred to me that when i calculated the velocity of an airplane in my problem, it's higher than the speed of the airplane...i know i probably didn't explain that too well, so here goes:(adsbygoogle = window.adsbygoogle || []).push({});

the problem:

The pilot of an aircraft wishes to fly due west in 50.0 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 205 km/hr.

a. In what direction should the aircraft head?

on this, I set up a right triangle with the velocities as vectors and calculated that the aircraft should fly 13.7 degrees north of west using angle=tan^-1 * (50.0 km/h/205km/h

b. What should its speed be relative to the ground?

Again, on this I set up another right triangle, and when i calculated the answer, it came up as 211. km/hr. I used the pythagorean theorum with (50.0km/h)^2+(205km/h)^2= C^2

What Im not sure about is whether I went about this problem with the right approach and whether 211. km/hr is the correct answer for B. All help is appreciated

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# Displacement/velocity problem

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