A plane leaves an airport traveling at 400 mph in the direction cap n 45 degrees cap e A wind is blowing at 40 mph in the direction cap n 45 degrees cap w What is the ground speed of the plane?

The plane’s velocity points northeast, while the wind points northwest, so the two velocity directions are 90° apart. The ground speed is the magnitude of their combined velocity: √(400² + 40²) = √161,600 ≈ 402 mph. Therefore, the ground speed is 402 mph, choice B.

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