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

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SUMMARY

The ground speed of a plane pointed due east with an airspeed of 212 km/hr and a north wind of 60.0 km/hr is calculated to be 220 km/hr. The solution involves using the Pythagorean theorem, specifically the equation |c| = √(cx2 + cy2), where cx is the eastward component (212 km/hr) and cy is the northward component (60 km/hr). Despite initial confusion, the correct ground speed was confirmed to be 220 km/hr, although an online submission issue required a slight adjustment to 219 km/hr for acceptance.

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  • Basic knowledge of airspeed and ground speed concepts
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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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