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Problem: A soccer ball being kicked into the air can be represented by the quadratic function h(t) =-16r+321. The height h, in feet, of the ball after t seconds can be modeled by the quadratic function. Part 1: Finding the Critical Information Solve for each piece of critical information algebraically. Show all work. a) How long does it take for the ball to reach the maximum height? b) What is the maximum height of the soccer ball? c) How long does it take for the ball to hit the ground?

Problem: A soccer ball being kicked into the air can be represented by the quadratic function h(t) =-16r+321. The height h, in feet, of the ball after t seconds can be modeled by the quadratic function. Part 1: Finding the Critical Information Solve for each piece of critical information algebraically. Show all work. a) How long does it take for the ball to reach the maximum height? b) What is the maximum height of the soccer ball? c) How long does it take for the ball to hit the ground?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem: A soccer ball being kicked into the air can be represented by the quadratic function h(t) =-16r + 321. The height h, in feet, of the ball after t seconds can be modeled by the quadratic function. Part 1: Finding the Critical Information Solve for each piece of critical information algebraically. Show all work. a) How long does it take for the ball to reach the maximum height? b) What is the maximum height of the soccer ball?. c) How long does it take for the ball to hit the ground? d) What is the height of the ball after 0.5 seconds? What is the height after seconds? 2 pts e) What was the initial height when the soccer ball was first kicked? How do you know?
Transcribed Image Text:Problem: A soccer ball being kicked into the air can be represented by the quadratic function h(t) =-16r + 321. The height h, in feet, of the ball after t seconds can be modeled by the quadratic function. Part 1: Finding the Critical Information Solve for each piece of critical information algebraically. Show all work. a) How long does it take for the ball to reach the maximum height? b) What is the maximum height of the soccer ball?. c) How long does it take for the ball to hit the ground? d) What is the height of the ball after 0.5 seconds? What is the height after seconds? 2 pts e) What was the initial height when the soccer ball was first kicked? How do you know?
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