Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.1 - Parabolas - 11.1 Exercises - Page 790: 65

Answer

Projectile motion, reflectors and antennas, bridges, satellite dishes, roller coaster and water slide design, optics, solar power.

Work Step by Step

You can find the answer by consulting a scientific encyclopedia in the reference section of your library, or searching the Internet. Here are some examples of other situations in real life in which parabolas occur: Projectile motion: When an object is thrown or launched in the air, its trajectory follows a parabolic path due to gravity. Reflectors and antennas: Parabolic shapes are often used in reflectors and antennas to focus or direct waves of energy, such as sound, light, or radio waves. Bridges: The arch shape of bridges is often parabolic in nature, allowing them to distribute weight evenly and withstand pressure from different directions. Satellite dishes: Parabolic dishes are used to collect and focus electromagnetic waves from satellites for communication and broadcasting purposes. Roller coaster and water slide design: The shape of some roller coasters and water slides follow parabolic curves to create thrilling and exciting rides. Optics: Parabolic mirrors are used in telescopes, searchlights, and projectors to focus and direct light in specific ways. Solar power: Parabolic troughs are used in solar power generation to concentrate sunlight and generate heat for electricity. These are just a few examples of the many applications of parabolic shapes in real-life situations.
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