A diver jumps off a diving board that is 12 ft above the water at a velocity of 16 ft/sec. For t≥ 0, in seconds, his height, s, in feet, above the water can be modeled by s(t) = - 16t² + 16t + 12. (a) How long is the diver in the air before he hits the water? Enter the exact answer. The diver is in the air for (b) What is the maximum height achieved and when does it occur? Enter the exact answers. seconds. The maximum height is feet

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
icon
Related questions
Question
A diver jumps off a diving board that is 12 ft above the water at a velocity of 16 ft/sec. For t≥ 0, in seconds, his height, s, in feet, above
the water can be modeled by s(t)
- 16t² + 16t + 12.
(a) How long is the diver in the air before he hits the water?
Enter the exact answer.
The diver is in the air for
Enter the exact answers.
=
(b) What is the maximum height achieved and when does it occur?
The maximum height is
and it occurs after
seconds.
feet,
seconds.
Transcribed Image Text:A diver jumps off a diving board that is 12 ft above the water at a velocity of 16 ft/sec. For t≥ 0, in seconds, his height, s, in feet, above the water can be modeled by s(t) - 16t² + 16t + 12. (a) How long is the diver in the air before he hits the water? Enter the exact answer. The diver is in the air for Enter the exact answers. = (b) What is the maximum height achieved and when does it occur? The maximum height is and it occurs after seconds. feet, seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 12 images

Blurred answer
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage