What Is the Ground Speed of a Plane with a North Wind?

AI Thread Summary
To determine the ground speed of a plane flying due east with an airspeed of 212 km/hr and a north wind of 60 km/hr, the Pythagorean theorem is applied. The components of the velocity are represented as c_x for eastward speed and c_y for northward wind speed. The correct calculation yields a ground speed of approximately 220 km/hr, though an online submission issue only accepted 219 km/hr. The discussion highlights the importance of accurately setting up the right triangle for vector addition. Ultimately, the problem was resolved, confirming the ground speed calculation.
Euler2718
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Homework Statement



The compass in a plane indicates that the plane is pointed due east; its air speed indicator reads 212 km/hr. There is a steady wind blowing from the north with a speed of 60.0 km/hr. What is the speed of the plane with respect to the ground?

Homework Equations



\sqrt{c^{2}_{x} + c^{2}_{y} } = |c|

I think

The Attempt at a Solution


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I tried setting up a right triangle but nothing works. Can someone point me in the right direction, I'm very frustrated.
 
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What are you using for c_x and c_y in your equation? That appears to be the right way to approach this problem.
 
RUber said:
What are you using for c_x and c_y in your equation? That appears to be the right way to approach this problem.
Yeah the online submission was broken. The answer was 220 km/hr, but it would only take 219 km/hr as the answer. All good now.
 
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