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AP Physics C: Mechanics
1.4 Reference Frames and Relative Motion
1.1 Scalars and Vectors
AdvancedMCQMathematical19.6k
Two side-by-side vector diagrams labeled Run 1 and Run 2. At the top left, a four-point compass rose indicates North pointing vertically upward and East pointing horizontally to the right. In the left panel labeled Run 1, a dashed vertical reference line extends upward from an origin point. A solid arrow labeled v_1 points vertically upward along this line. A second solid arrow representing ground track begins at the same origin and extends upward and slightly to the right, forming an acute angle labeled \theta_1 with the vertical dashed line. In the right panel labeled Run 2, a dashed horizontal reference line extends to the right from an origin point. A solid arrow labeled v_2 points horizontally to the right along this line. A second solid arrow representing ground track begins at the same origin and extends to the right and slightly upward, forming an acute angle labeled \theta_2 with the horizontal dashed line. No other labels, lines, text, or axes appear.
Drone headings and resulting ground tracks for Run 1 and Run 2.
An aerial research drone flies in a region with a constant, uniform horizontal wind. On a first test run, the drone is steered due North with an airspeed of \(65\text{ m/s}\), and tracking instruments indicate its ground track is directed at an angle \(\theta_1\) East of North, where \(\tan\theta_1 = 0.25\). On a second test run, the drone is steered due East with an airspeed of \(55\text{ m/s}\), and its ground track is directed at an angle \(\theta_2\) North of East, where \(\tan\theta_2 = 0.20\). What is the speed of the wind relative to the ground?

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