AP Physics 1 questions on interpreting position-time graphs.

📚 Quick Study Guide

• 📈 Position-Time Graphs: Represent an object's position as a function of time. The slope of the line indicates the object's velocity.
• 📏 Position (x): The location of an object relative to a reference point.
• ⏱️ Time (t): The independent variable, usually measured in seconds.
• 📐 Slope: Calculated as $slope = \frac{\Delta x}{\Delta t}$, where $\Delta x$ is the change in position and $\Delta t$ is the change in time. The slope *is* the average velocity.
• ➡️ Positive Slope: Indicates movement in the positive direction.
• ⬅️ Negative Slope: Indicates movement in the negative direction.
• ↔️ Zero Slope: Indicates the object is at rest.
• 💫 Constant Slope: Indicates constant velocity (uniform motion).
• Curve : Changing slope signifies non-uniform motion (acceleration).

🧪 Practice Quiz

1. A position-time graph shows a horizontal line. What does this indicate about the object's motion?
   1. The object is moving with constant velocity.
   2. The object is accelerating.
   3. The object is at rest.
   4. The object is moving with negative velocity.
2. The slope of a position-time graph represents:
   1. Acceleration
   2. Displacement
   3. Velocity
   4. Time
3. On a position-time graph, a line sloping downwards to the right indicates:
   1. Positive acceleration
   2. Negative acceleration
   3. Movement in the positive direction
   4. Movement in the negative direction
4. A position-time graph shows a curved line. What does this indicate?
   1. Constant velocity
   2. Zero velocity
   3. Changing acceleration
   4. Constant acceleration
5. At t=2 seconds, a particle is at x=5 meters. At t=4 seconds, the particle is at x=1 meter. What is the average velocity of the particle?
   1. 2 m/s
   2. -2 m/s
   3. 3 m/s
   4. -3 m/s
6. Which of the following is true regarding the object if the position-time graph is linear?
   1. The object's acceleration is constant.
   2. The object's velocity is constantly changing.
   3. The object is moving at constant velocity.
   4. The object is at rest.
7. A car moves 20 meters in 2 seconds and then remains at rest for 3 seconds. What will the shape of the position-time graph look like?
   1. A horizontal line followed by a sloping line.
   2. A sloping line followed by a horizontal line.
   3. A curved line followed by a sloping line.
   4. A curved line followed by a horizontal line.