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The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2.  How long will it take the projectile to strike the ground? What is the maximum height that the projectile reaches?  When does the rocket reach the maximum height?

The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2.  How long will it take the projectile to strike the ground? What is the maximum height that the projectile reaches?  When does the rocket reach the maximum height?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2. 

  1. How long will it take the projectile to strike the ground?
  2. What is the maximum height that the projectile reaches? 
  3. When does the rocket reach the maximum height?
4. The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t 16t. a. How long will it take the projectile to strike the ground? b. What is the maximum height that the projectile reaches? c. When does the rocket reach the maximum height? 5. A company earns a weekly profit of P dollars by selling x items, according to the equation P(x) = -0.5x? +40x 300. a. How many items does the company have to sell each week to maximize the profit? b. How many items will result in the company breaking even (a profit of 0)?
Transcribed Image Text:4. The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t 16t. a. How long will it take the projectile to strike the ground? b. What is the maximum height that the projectile reaches? c. When does the rocket reach the maximum height? 5. A company earns a weekly profit of P dollars by selling x items, according to the equation P(x) = -0.5x? +40x 300. a. How many items does the company have to sell each week to maximize the profit? b. How many items will result in the company breaking even (a profit of 0)?
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