small rocket is launched vertically upward from the edge of a cliff 128 ft off the ground at a speed of 96 ft/s. Its height above the ground is given by the function h(t)=−16t2+96t+128, where t represents time measured in seconds. a. Assuming the rocket is launched at t=0, what is an appropriate domain for h? b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?
small rocket is launched vertically upward from the edge of a cliff 128 ft off the ground at a speed of 96 ft/s. Its height above the ground is given by the function h(t)=−16t2+96t+128, where t represents time measured in seconds. a. Assuming the rocket is launched at t=0, what is an appropriate domain for h? b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?
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 64PFA
Related questions
Concept explainers
Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Question
A small rocket is launched vertically upward from the edge of a cliff
128 ft off the ground at a speed of
96 ft/s.
Its height above the ground is given by the functionh(t)=−16t2+96t+128, where t represents time measured in seconds.
a.
|
Assuming the rocket is launched at
t=0,
what is an appropriate domain for h? |
b.
|
Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt