seconds after being launched into the air: h(t) = -4t² + 24t + 62 Use the completing the square technique to write this function in vertex form. Show all steps in using the completing the square technique. Determine the maximum height of the projectile. How long does it take to reach the maximum height? How long does it take for the projectile to reach the ground?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following function, which represents the height h of a projectile at time t
seconds after being launched into the air:
h(t) = -4t2 + 24t + 62
Use the completing the square technique to write this function in vertex form. Show all
steps in using the completing the square technique.
Determine the maximum height of the projectile.
How long does it take to reach the maximum height?
How long does it take for the projectile to reach the ground?
Transcribed Image Text:Consider the following function, which represents the height h of a projectile at time t seconds after being launched into the air: h(t) = -4t2 + 24t + 62 Use the completing the square technique to write this function in vertex form. Show all steps in using the completing the square technique. Determine the maximum height of the projectile. How long does it take to reach the maximum height? How long does it take for the projectile to reach the ground?
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