Question

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

Answer 1

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.