---
title: "A drone moves horizontally along a straight path at a constant velocity of \\(+12 \\text{ m/s}\\) relative to the ground. A sensor on the drone tracks a car moving along the same straight path. The graph shows the position of the car relative to the drone, \\(x_{\\text{rel}}\\), as a function of time \\(t\\). What is the velocity of the car relative to the ground?"
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url: "https://nerd-notes.com/ubq/119042/"
date_modified: "2026-08-18T04:47:06+00:00"
---

# A drone moves horizontally along a straight path at a constant velocity of \(+12 \text{ m/s}\) relative to the ground. A sensor on the drone tracks a car moving along the same straight path. The graph shows the position of the car relative to the drone, \(x_{\text{rel}}\), as a function of time \(t\). What is the velocity of the car relative to the ground?

A drone moves horizontally along a straight path at a constant velocity of \(+12 \text{ m/s}\) relative to the ground. A sensor on the drone tracks a car moving along the same straight path. The graph shows the position of the car relative to the drone, \(x_{\text{rel}}\), as a function of time \(t\). What is the velocity of the car relative to the ground?

![A Cartesian graph showing position relative to drone x_{rel} in meters on the vertical axis versus time t in seconds on the horizontal axis. The horizontal axis ranges from 0 to 6 with tick marks every 1 second labeled 0, 1, 2, 3, 4, 5, 6. The vertical axis ranges from -15 to 25 with tick marks every 5 units labeled -15, -10, -5, 0, 5, 10, 15, 20, 25. Grid lines extend across the plot area. A straight solid line starts at time t = 0 s and x_{rel} = 20 m, passes through (2.5, 5) and terminates at t = 5 s, x_{rel} = -10 m. Clear data points are marked with filled dots at (0, 20) and (5, -10). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1787028426-KCrhAB.jpg)

- **A.** \(-6 \text{ m/s}\)
- **B.** \(+6 \text{ m/s}\)
- **C.** \(+18 \text{ m/s}\)
- **D.** \(+30 \text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119042/*