Examples of velocity-time graphs explained

📚 Quick Study Guide

• ⏱️ Velocity-time graphs plot velocity on the y-axis and time on the x-axis.
• 📈 The slope of the line represents acceleration. A positive slope means positive acceleration, a negative slope means deceleration, and a zero slope means constant velocity.
• 📏 The area under the curve represents the displacement (change in position).
• 📐 Constant velocity is shown as a horizontal line.
• 📉 Constant acceleration is shown as a straight, sloped line.
• 🧮 The average velocity between two times $t_1$ and $t_2$ is given by $\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the displacement and $\Delta t$ is the time interval.

🧪 Practice Quiz

1. A horizontal line on a velocity-time graph indicates:
   1. Constant acceleration
   2. Increasing acceleration
   3. Constant velocity
   4. Decreasing velocity


2. The slope of a velocity-time graph represents:
   1. Displacement
   2. Velocity
   3. Acceleration
   4. Time


3. What does the area under a velocity-time graph represent?
   1. Acceleration
   2. Displacement
   3. Velocity
   4. Time


4. A car accelerates uniformly from rest to a velocity of 20 m/s in 5 seconds. What is its acceleration?
   1. 2 m/s²
   2. 4 m/s²
   3. 5 m/s²
   4. 10 m/s²


5. A negative slope on a velocity-time graph indicates:
   1. Constant velocity
   2. Positive acceleration
   3. Negative acceleration (deceleration)
   4. Zero acceleration


6. Which of the following scenarios would result in a curved line on a velocity-time graph?
   1. Constant velocity
   2. Constant acceleration
   3. Uniform deceleration
   4. Non-constant acceleration


7. A cyclist maintains a constant velocity of 10 m/s for 20 seconds. What distance did they cover?
   1. 50 m
   2. 100 m
   3. 200 m
   4. 2000 m