Skip to ContentGo to accessibility page
OpenStax Logo
Algebra 1

7.6.5 Practice

Algebra 17.6.5 Practice

7.6.5 Practice

7.6.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. The height of a diver above the water is given by h ( t ) = − 5 t 2 + 10 t + 3 , where t is time measured in seconds and h ( t ) is measured in meters. Select two statements that are true about the situation.
  1. The diver begins 5 meters above the water.
  2. The diver begins 3 meters above the water.
  3. The function has 1 zero that makes sense in this situation.
  4. The function has 2 zeros that make sense in this situation.
  5. The graph that represents h starts at the origin and curves upward.
  6. The diver begins at the same height as the water level.
  1. The height of a baseball, in feet, is modeled by the function h given by the equation h ( t ) = 3 + 60 t − 16 t 2 . The graph of the function is shown.

  1. About when does the baseball reach its maximum height? Round to the nearest second.
  1. About how high is the maximum height of the baseball? Round to the nearest ten.
  1. When does the baseball hit the ground? Round to the nearest second.
  1. Two rocks are launched straight up in the air. The height of Rock A is given by the function f , where f ( t ) = 4 + 30 t − 16 t 2 . The height of Rock B is given by g , where g ( t ) = 5 + 20 t − 16 t 2 . In both functions, t is time measured in seconds and height is measured in feet.

The following is a graph of the functions. Use the graph to answer the questions a – c.

  1. Which graph is the height of Rock A, f ( t ) = 4 + 30 t − 16 t 2 ?
  1. Green Graph
  2. Red Graph
  1. Which graph is the height of Rock B, g ( t ) = 5 + 20 t − 16 t 2 ?
  1. Green Graph
  2. Red Graph
  1. Determine which rock hits the ground first.
  1. Rock A
  2. Rock B
  1. Each expression represents an object’s distance from the ground, in meters, as a function of time, t , in seconds.

  • Object A: − 5 t 2 + 25 t + 50

  • Object B: − 5 t 2 + 50 t + 25

  1. Which object was launched with the greater vertical speed?
  1. Object A
  2. Object B
  1. Which object was launched from the greater height?
  1. Object A
  2. Object B
PreviousNext
Order a print copy
Citation/Attribution
Reuse and redistribution of this content in digital or print format:
  • This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's prior written permission.
  • This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License, which means that you can reuse and modify the material only for noncommercial purposes, must attribute OpenStax, and must distribute any derivative works under the same license.
  • Any commercial printing of this textbook, including using a local or custom printer, must be approved by OpenStax, and proper citation provided.
  • OpenStax-copyrighted images, activities, assessments, and similar components of this book are subject to the same licensing – CC-BY-NC-SA. They can be used for noncommercial purposes with attribution. Commercial use requires permission.
  • Permission requests: Anyone who intends to incorporate this content (including text, images, and other components) into large language models, use it in AI offerings, use it commercially (including in print), and/or has questions about another use case is welcome to complete our reuse request form.
Attribution information
  • If you are redistributing all or part of this book in a noncommercial print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a noncommercial digital format, then for every page that includes OpenStax content, you must license the derivative work under the same CC-BY-NC-SA license as the original, and include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

The information below includes the information needed to generate citations in most major styles (APA, MLA, etc.); you must reformat and organize the information as needed to fit the requirements of the style. Use the information below to generate a citation. We recommend using a citation tool such as this one.

© Apr 23, 2026 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo, and Rice University name, and Rice University logo trademarks, or wordmarks are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.