A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. How long is the ball in the air before it hits the ground? Use the equation h(t) = -16t² + vt + s. T is time, v is initial velocity, s is initial height, and h(t) is the height at any given time. Solve using the quadratic formula.  Solve EXACTLY like the example attached. Show all the exact steps.

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,...
icon
Related questions
Question
100%

A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. How long is the ball in the air before it hits the ground? Use the equation h(t) = -16t² + vt + s. T is time, v is initial velocity, s is initial height, and h(t) is the height at any given time. Solve using the quadratic formula

Solve EXACTLY like the example attached. Show all the exact steps.

Austin throws a rock in the air. The height, h, in feet above the ground is given
by h = -16t² + 123t+40. How long is the rock in the air? Solve fort
a=16
b= 123 C-40
t=−(123)±√(123)²-4(-16)(4
2(-16)
t=-123 ± √17689
-32
t-123133
-32
-123+133
-32
9-123-133
-32
= -0.325
= 8
X=
-b± √b² - 4ac
2a
Can we simplify
√17869
Transcribed Image Text:Austin throws a rock in the air. The height, h, in feet above the ground is given by h = -16t² + 123t+40. How long is the rock in the air? Solve fort a=16 b= 123 C-40 t=−(123)±√(123)²-4(-16)(4 2(-16) t=-123 ± √17689 -32 t-123133 -32 -123+133 -32 9-123-133 -32 = -0.325 = 8 X= -b± √b² - 4ac 2a Can we simplify √17869
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education