Integration and Dynamic Motion


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question 1 of 3

Given a velocity v(t) and a starting position of xA at time t = 0, what is the equation for position as a function of time?

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1. Given a velocity of 60 miles per hour, and a starting location of x = 0, how far will you have traveled in 1.4 hours?

2. Given a velocity of v(t) as defined below, what is the equation for your position as a function of time?

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About This Quiz & Worksheet

You can use integration tactics in order to solve problems involving dynamic motion, and this quiz/worksheet combo will help you test your understanding of how to use integration in practice problems involving velocity. The questions on the quiz will test you on identifying the appropriate equation given certain information and solving problems using integration.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying the appropriate equation to use given certain information and variables
  • Solving problems involving dynamic motion using integration

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure you draw the most important information from the related calculus lesson
  • Making connections - use your understanding of the concept of integration, velocity, and location
  • Problem solving - use your acquired knowledge to solve practice problems involving integration and dynamic motion

Additional Learning

To learn more, review the accompanying lesson titled Integration and Dynamic Motion. This lesson covers the following objectives:

  • Define dynamic motion
  • Differentiate between motion and dynamic motion
  • Understand how to use velocity to define the position of a point
  • Review how to use integration to solve problems involving dynamic motion