AP Physics C: Mechanics
1.5 Motion in Two or Three Dimensions
1.4 Reference Frames and Relative Motion
1.2 Displacement, Velocity, and Acceleration
A scout aircraft maneuvers in a horizontal plane with a position vector as a function of time given by \(\vec{r}_S(t) = R\cos(\omega t)\hat{i} + R\sin(\omega t)\hat{j}\), where \(R\) and \(\omega\) are positive constants, and \(v_0 = R\omega\). At time \(t = \dfrac{\pi}{2\omega}\), four target drones have constant velocities relative to the ground: Drone 1 has velocity \(v_0\hat{i}\), Drone 2 has velocity \(-v_0\hat{i}\), Drone 3 has velocity \(v_0\hat{j}\), and Drone 4 has velocity \(2v_0\hat{i}\). Which of the following correctly ranks the speeds of the four drones as measured by an observer on the scout aircraft at this instant, from greatest to least?
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