Determining Acceleration Using the Slope of a Velocity vs. Time Graph


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A car drives by at a speed of 8 m/s. Three seconds after the car passes you (t = 3 s) the driver hits the gas and the car begins to accelerate. Nine seconds after the car passes you (t = 9 s) the car has reached a speed of 40 m/s. What was the car's acceleration between t = 3 seconds and t = 9 seconds?

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1. On this graph, what is the change in velocity between 5 seconds and 8 seconds?

2. On this graph, what is the acceleration between 5 seconds and 8 seconds?

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About This Quiz & Worksheet

Test your ability to calculate the acceleration of an object using a velocity versus time graph. Practice questions in this quiz will assess your understanding of acceleration and how to calculate change in velocity over time.

Quiz & Worksheet Goals

Through this quiz and worksheet, you will assess your ability to:

  • Calculate acceleration over time
  • Define acceleration
  • Calculate change in velocity
  • Understand why the outcome on an acceleration graph may be negative

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on calculating acceleration using a velocity versus time graph
  • Making connections - use understanding of the concept of acceleration and slope of the graph
  • Problem solving - use acquired knowledge to solve acceleration calculation practice problems

Additional Learning

For more understanding on how a time graph can be used in physics and kinematics, review the lesson called Determining Acceleration Using the Slope of a Velocity vs. Time Graph. This lesson covers:

  • Relationship between acceleration and the slope of the graph
  • The equation for acceleration
  • How to calculate acceleration through example problems