Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems


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question 1 of 3

A baseball is thrown from a height of 48 feet off the ground with an initial velocity of 32 feet per second. How many seconds does it take for this baseball to hit the ground?

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1. An object is dropped from a distance of 64 feet. How long will it take to reach the ground?

2. For the gravity equation, how do you find the time it takes for an object to hit the ground after it's been thrown?

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About This Quiz & Worksheet

This quiz and worksheet combo is designed to help you quickly assess your understanding of quadratic functions specifically relating to simple optimization and motion. Practice problems gauge your knowledge of quadratic functions as well as your knowledge of different terms, such as gravity equation and velocity.

Quiz & Worksheet Goals

In these assessments, you'll be tested on your ability to:

  • Use different quadratic functions for motion and simple optimization
  • Use the definition of initial velocity to solve mathematical problems
  • Define and learn how to use the gravity equation
  • Understand the relationship between optimization problems and the quadratic function

Skills Practiced

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

  • Knowledge application: use your knowledge of quadratic functions to solve mathematical problems
  • Information recall: access your knowledge regarding velocity and optimization concepts
  • Problem solving: solve quadratic function problems to learn more about motion

Additional Learning

To understand more about quadratic functions, review the accompanying lesson on Applying Quadratic Functions to Motion & Simple Optimization. This lesson covers the following objectives:

  • Define quadratic functions
  • Understand the relationship between the vertex point and quadratic functions
  • Define initial velocity and simple optimization
  • Learn how to write quadratic functions
  • Understand why quadratic functions are used