Displacement vs. Time Graph and Velocity Quiz with Answers

📚 Quick Study Guide

• 📏 Displacement: Change in position ($\Delta x = x_f - x_i$).
• ⏱️ Time: Duration during which change occurs ($\Delta t = t_f - t_i$).
• 🚀 Velocity: Rate of change of displacement ($v = \frac{\Delta x}{\Delta t}$).
• 📈 Displacement vs. Time Graph: Shows how displacement changes with time.
• 🧭 Slope of the Graph: Represents velocity. A steeper slope indicates a higher velocity.
• ↔️ Horizontal Line: Indicates the object is at rest (zero velocity).
• ↘️ Negative Slope: Indicates movement in the opposite direction.

Practice Quiz

1. Question 1: What does the slope of a displacement vs. time graph represent?
   1. (A) Acceleration
   2. (B) Velocity
   3. (C) Displacement
   4. (D) Time
2. Question 2: A horizontal line on a displacement vs. time graph indicates what?
   1. (A) Constant Velocity
   2. (B) Constant Acceleration
   3. (C) Object is at Rest
   4. (D) Changing Velocity
3. Question 3: If the displacement vs. time graph is a straight line with a positive slope, what does this mean about the velocity?
   1. (A) Constant and Positive
   2. (B) Constant and Negative
   3. (C) Increasing
   4. (D) Decreasing
4. Question 4: What is the formula for average velocity?
   1. (A) $v = \frac{\Delta t}{\Delta x}$
   2. (B) $v = \Delta x \cdot \Delta t$
   3. (C) $v = \frac{\Delta x}{\Delta t}$
   4. (D) $v = a \cdot t$
5. Question 5: A negative slope on a displacement vs. time graph indicates what?
   1. (A) Positive Velocity
   2. (B) Zero Velocity
   3. (C) Negative Velocity
   4. (D) Increasing Velocity
6. Question 6: If an object's displacement does not change over time, what is its velocity?
   1. (A) Constant
   2. (B) Increasing
   3. (C) Zero
   4. (D) Negative
7. Question 7: On a displacement vs. time graph, a steeper slope indicates:
   1. (A) Lower Velocity
   2. (B) Higher Velocity
   3. (C) Zero Velocity
   4. (D) Constant Velocity