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Analyzing Position-Time Graphs from Motion Diagrams

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Q11. An RC car is in motion, and the photographer uses the burst mode photo feature to capture the moving subject. He took one frame per second. The given figure shows the motion diagram of the RC car. Draw its position-versus-time graph.

Background

Topic: Position-Time Graphs in Kinematics

This question tests your ability to interpret a motion diagram and translate it into a position-versus-time graph. Understanding how the spacing of the car's positions over time relates to the shape of the graph is key in kinematics.

Motion diagram of RC car with positions marked at each second

Key Terms and Concepts:

  • Position-Time Graph: A graph that shows how an object's position changes over time.

  • Uniform Motion: If the object moves equal distances in equal time intervals, the graph will be a straight line.

  • Non-uniform Motion: If the distances between positions change, the graph will be curved or have varying slopes.

Step-by-Step Guidance

  1. Examine the motion diagram and note the position of the RC car at each second. The car's position is marked at 0, 1, 2, 3, 4, 5, 6, and 7 seconds.

  2. Observe the spacing between each position. If the spacing is equal, the car moves at a constant speed; if not, the speed is changing.

  3. Match the observed pattern to the possible position-time graphs provided. Look for a graph where the position increases by the same amount each second if the motion is uniform.

  4. Compare the time intervals and the corresponding positions on each graph option. The correct graph should reflect the actual positions at each second as shown in the motion diagram.

  5. Before selecting the final answer, check if the graph's slope (rate of change of position) matches the car's motion (constant or changing speed).

Position vs Time graph option a Position vs Time graph option b Position vs Time graph option c Position vs Time graph option d

Try solving on your own before revealing the answer!

Final Answer: Option a (Image 3)

The correct position-time graph is the one where the position increases by the same amount each second, indicating uniform motion. This matches the motion diagram, where the RC car moves equal distances in equal time intervals. Therefore, the answer is option a, which is represented by image_3.

Correct position vs time graph for uniform motion

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