The problem describes the motion of an object using a position versus time graph. The graph shows a straight line with a positive slope. The question asks which of the following statements is true about the motion of the object: A. The object is moving with a positive acceleration. B. The object is moving with a negative acceleration. C. The object has a constant position. D. The object is moving at a constant speed.
2025/4/26
1. Problem Description
The problem describes the motion of an object using a position versus time graph. The graph shows a straight line with a positive slope. The question asks which of the following statements is true about the motion of the object:
A. The object is moving with a positive acceleration.
B. The object is moving with a negative acceleration.
C. The object has a constant position.
D. The object is moving at a constant speed.
2. Solution Steps
The graph depicts position on the y-axis and time on the x-axis. A straight line on a position-time graph indicates constant velocity. The slope of the line represents the velocity. Since the slope is positive, the velocity is positive and constant.
Acceleration is the rate of change of velocity. Since the velocity is constant, the acceleration is zero.
A constant position would be represented by a horizontal line on the graph.
The object is moving at a constant speed because the slope of the line, which represents the speed, is constant.
3. Final Answer
D. The object is moving at a constant speed.