Position as a function of time of two moving objects is presented by the graph. Which of the following statements is true? At time to they have the same velocity A. R Object I has a greater accelleration than object II c. Object II has a greater velocity that object I D. Object II has a greater acceleration that object I E. Object I has a greater velocity than object II

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Transcription for Educational Website:**

**Graph Explanation:**

The graph depicts the position \( x \) as a function of time \( t \) for two moving objects, labeled I and II. The horizontal axis represents time, while the vertical axis represents position. Both objects have linear trajectories, with lines indicating their paths over time. The intersection point of the lines is at time \( t_0 \).

**Question:**

"Position as a function of time of two moving objects is presented by the graph. Which of the following statements is true?"

**Options:**

A. At time \( t_0 \), they have the same velocity

B. Object I has a greater acceleration than object II

C. Object II has a greater velocity than object I

D. Object II has a greater acceleration than object I

E. Object I has a greater velocity than object II

**Analysis:**

- The slope of a line on a position-time graph represents velocity.
- A steeper slope indicates a higher velocity.
- Since the lines for both objects are straight, their accelerations are zero (constant velocity).

Based on the graph, analyze the slopes of the lines to determine the correct statement.
Transcribed Image Text:**Transcription for Educational Website:** **Graph Explanation:** The graph depicts the position \( x \) as a function of time \( t \) for two moving objects, labeled I and II. The horizontal axis represents time, while the vertical axis represents position. Both objects have linear trajectories, with lines indicating their paths over time. The intersection point of the lines is at time \( t_0 \). **Question:** "Position as a function of time of two moving objects is presented by the graph. Which of the following statements is true?" **Options:** A. At time \( t_0 \), they have the same velocity B. Object I has a greater acceleration than object II C. Object II has a greater velocity than object I D. Object II has a greater acceleration than object I E. Object I has a greater velocity than object II **Analysis:** - The slope of a line on a position-time graph represents velocity. - A steeper slope indicates a higher velocity. - Since the lines for both objects are straight, their accelerations are zero (constant velocity). Based on the graph, analyze the slopes of the lines to determine the correct statement.
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