---
title: "An object moves along the x-axis. A motion sensor records its velocity v as a function of time t, producing the smooth curve shown in the graph. At time t = 2.0 s, the curve passes through point P where v = 1.0 m/s with a negative slope, and the curve is concave upward. Which of the following statements correctly describes the motion of the object and the curvature of its position-versus-time graph at t = 2.0 s?"
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url: "https://nerd-notes.com/ubq/123998/"
date_modified: "2026-09-28T13:30:05+00:00"
---

# An object moves along the x-axis. A motion sensor records its velocity v as a function of time t, producing the smooth curve shown in the graph. At time t = 2.0 s, the curve passes through point P where v = 1.0 m/s with a negative slope, and the curve is concave upward. Which of the following statements correctly describes the motion of the object and the curvature of its position-versus-time graph at t = 2.0 s?

An object moves along the x-axis. A motion sensor records its velocity v as a function of time t, producing the smooth curve shown in the graph. At time t = 2.0 s, the curve passes through point P where v = 1.0 m/s with a negative slope, and the curve is concave upward. Which of the following statements correctly describes the motion of the object and the curvature of its position-versus-time graph at t = 2.0 s?

![A two-dimensional Cartesian graph with fine light-gray gridlines. The horizontal axis is labeled t (s) and ranges from 0 to 6 with integer tick marks at 0, 1, 2, 3, 4, 5, 6. The vertical axis is labeled v (m/s) and ranges from -2 to 6 with tick marks at -2, 0, 2, 4, 6. A single smooth, solid black curve represents velocity as a function of time. The curve starts at (0, 5), curves downward through (1, 2.7) and (2, 1), reaches a rounded minimum at (3.5, -1.2), and curves upward to (5.5, 3). Across the interval from t = 1 to t = 5, the curve is visibly concave upward. At the coordinates (2, 1), there is a distinct solid black dot labeled P. A dashed tangent line segment of negative slope passes through point P. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790602205-5x01bc.jpg)

- **A.** The object is speeding up, its acceleration is decreasing, and the position-versus-time graph is concave upward.
- **B.** The object is slowing down, its acceleration is decreasing, and the position-versus-time graph is concave upward.
- **C.** The object is slowing down, its acceleration is increasing, and the position-versus-time graph is concave downward.
- **D.** The object is speeding up, its acceleration is increasing, and the position-versus-time graph is concave downward.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123998/*