AP Physics 1 FRQ Practice

🎡AP Physics 1

Practice FRQ 1 of 141/14

1. A drone travels at constant altitude above a straight road. An observer O stands at rest on the ground next to the road, while an observer O′ rides in a truck moving along the road at constant speed. The positive x-direction is east, and the positive y-direction is north, as shown in Figure 1.

Figure 1. Top-down reference frame: drone motion relative to ground observer O and truck observer O′.

Figure 2. Axes for sketching x-position versus time for the drone as measured by observer O.

On the axes shown in Figure 2, sketch a graph of the drone’s x-position $x$ as a function of time $t$ from $t=0$ until $t=t_2$ as measured by observer O.

ii.

Derive expressions for the drone’s displacement components $\Delta x$ and $\Delta y$ from $t=0$ to $t=t_2$ as measured by observer O in terms of $v_x$ , $v_y$ , and $t_2$ . Begin your derivation by writing a fundamental equation from the reference information.

iii.

Derive an expression for the magnitude of the drone’s displacement $|\Delta \vec r|$ from $t=0$ to $t=t_2$ as measured by observer O in terms of $v_x$ , $v_y$ , and $t_2$ . Begin your derivation by writing an equation that relates the magnitude of a vector to its perpendicular components.

Indicate whether the x-component of the drone’s average velocity as measured by observer O′ is greater than, less than, or equal to the x-component of the drone’s average velocity as measured by observer O. Observer O′ in the truck moves east with constant speed $v_T = 6.0\ \text{m/s}$ relative to observer O. The truck’s motion is along the +x direction only. The drone’s velocity relative to observer O remains constant at $\vec v = (12\ \text{m/s})\,\hat\imath + (5.0\ \text{m/s})\,\hat\jmath$ . Consider the interval from $t=0$ to $t=t_2 = 8.0\ \text{s}$ .

Greater than
Less than
Equal to
Justify your response.

Timed

00:00

Response auto-saves