AP Physics 1 FRQ Practice

🎡AP Physics 1

Practice FRQ 1 of 171/17

1. A drone moves at constant altitude above a large, level field. A student uses a coordinate system with $+x$ east and $+y$ north, as shown in Figure 1.

Figure 1. Top-down map view of the drone’s horizontal motion using a student-centered coordinate system (+x east, +y north).

Figure 2. Axes for a graph of the y-component of velocity, v_y, versus time, t (student will sketch the curve).

On the axes shown in Figure 2, sketch a graph of the y-component of the drone’s velocity, $v_y$ , as a function of time $t$ from $t=0$ to $t=9.0\ \text{s}$ .

ii.

Derive an expression for the magnitude of the drone’s displacement from $t=0$ to $t=5.0\ \text{s}$ in terms of the given velocity components $v_x$ and $v_y$ and the time interval $\Delta t = 5.0\ \text{s}$ . Begin your derivation by writing a fundamental physics principle or an equation from the reference information.

iii.

Derive an expression for the drone’s speed at $t=9.0\ \text{s}$ in terms of the given initial components $v_x$ and $v_y$ at $t=0$ , the acceleration components $a_x$ and $a_y$ (which apply from $t=5.0\ \text{s}$ to $t=9.0\ \text{s}$ ), and time intervals. Begin your derivation by writing a fundamental physics principle or an equation from the reference information.

Indicate whether the magnitude of the drone’s average velocity during $0 ≤ t ≤ 5.0\ \text{s}$ measured by the second observer is greater than, less than, or equal to the magnitude measured by the student. A second observer rides in a ground vehicle that moves with constant velocity $\vec{u} = \langle +4.0\ \text{m/s},\ 0\ \text{m/s} \rangle$ relative to the field (eastward). The second observer uses an inertial reference frame with axes parallel to the student’s axes. Consider the time interval from $t=0$ to $t=5.0\ \text{s}$ .

Greater than
Less than
Equal to
Justify your response.

Timed

00:00

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