🎡AP Physics 1
1. A small drone moves in a horizontal plane at a constant velocity relative to the ground, as shown in Figure 1. The positive x-direction is east and the positive y-direction is north.
Figure 1. Top-down velocity vectors for a drone and a boat in ground (G) and boat (B) reference frames; +x is east and +y is north.
Figure 2. Axes for graphing x-position x (m) versus time t (s) from 0 to 10.0 s.
On the axes shown in Figure 2, sketch a graph of the drone’s x-position as a function of time from to as measured in the ground reference frame.
Derive expressions for the x- and y-components of the drone’s velocity in the ground reference frame, and , in terms of the given speed and angle . Begin your derivation by writing a fundamental relationship between a vector and its perpendicular components.
Derive an expression for the magnitude of the drone’s displacement from to as measured in the ground reference frame. Express your final answer in terms of the given speed , the time interval , and physical constants, as appropriate. Begin your derivation by writing a fundamental kinematics relationship.
Indicate whether the magnitude of the drone’s velocity measured in the boat reference frame is less than, greater than, or equal to the magnitude of the drone’s velocity measured in the ground reference frame. An observer on a boat moves due east (positive x-direction) at a constant velocity of relative to the ground. The boat reference frame is inertial. The observer on the boat measures the drone’s velocity relative to the boat as .
Less than
Greater than
Equal to
Justify your response.
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