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5 votes
5 votes
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at 50 km/hr.What is the plane’s ground speed?Select one:a.505.9 km/hrb.576.4 km/hrc.629.2 km/hrd.563.8 km/hr

User Vanina
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2.7k points

1 Answer

9 votes
9 votes

To find the plane’s ground speed, we need to solve the next:

Where the plane’s ground speed is given by the red vector.

Then:


R^2=450^2+50^2-(2(450)(50)(\cos\theta)

Where we use cos45.


\begin{gathered} R^2=202500+2500-30547.01295 \\ R=\sqrt[]{291600+2500-30547.01295} \\ R=505.9 \end{gathered}

Hence, the correct answer is option a.

For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but-example-1
User Daniele Dellafiore
by
2.8k points
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