Homework Help is Here – Start Your Trial Now!
Math
Algebra
2. Motion due to gravity For problem below, make use of the equation of motion of a vertically projected object: 1 gr + vt + So, where s is the height of the object at time t seconds, g is 32 feet per second? and v, and s, are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she throws the basketball at a speed of 20 feet per second. Joe's apartment building is 105 feet high, and he throws the basketball at a speed of 34 feet per second. a) Write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of funetion is the height function? How do you know? b) Display the graph of the function you found from a) above. Copy the graph onto your paper and label its axes. c) What is the maximum height of the basketball, and when does it reach that height? Show your work and explain your answer. d) When does the basketball hit the ground? Show your work and explain your answer.

2. Motion due to gravity For problem below, make use of the equation of motion of a vertically projected object: 1 gr + vt + So, where s is the height of the object at time t seconds, g is 32 feet per second? and v, and s, are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she throws the basketball at a speed of 20 feet per second. Joe's apartment building is 105 feet high, and he throws the basketball at a speed of 34 feet per second. a) Write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of funetion is the height function? How do you know? b) Display the graph of the function you found from a) above. Copy the graph onto your paper and label its axes. c) What is the maximum height of the basketball, and when does it reach that height? Show your work and explain your answer. d) When does the basketball hit the ground? Show your work and explain your answer.

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
2. Motion due to gravity For problem below, make use of the equation of motion of a vertically projected object: 1 gt² +v,t + So, where s is the height of the object at time t seconds, g is 32 feet per 2 second? and v, and s, are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she throws the basketball at a speed of 20 feet per second. Joe's apartment building is 105 feet high, and he throws the basketball at a speed of 34 feet per second. a) Write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of function is the height function? How do you know? b) Display the graph of the function you found from a) above. Copy the graph onto your paper and label its axes. c) What is the maximum height of the basketball, and when does it reach that height? Show your work and explain your answer. d) When does the basketball hit the ground? Show your work and explain your answer. e) Write the function that describes the height of Joe's basketball, in terms of time measured in seconds. f) Which basketball reaches a greater height? Show work and explain your answer. g) Is there a time when the basketballs are at the same height? Set up the equation and use algebra, showing your work. Write the conclusion in a complete sentence. h) Which basketball stays up in the air longer? Show work and explain your answer.
Transcribed Image Text:2. Motion due to gravity For problem below, make use of the equation of motion of a vertically projected object: 1 gt² +v,t + So, where s is the height of the object at time t seconds, g is 32 feet per 2 second? and v, and s, are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she throws the basketball at a speed of 20 feet per second. Joe's apartment building is 105 feet high, and he throws the basketball at a speed of 34 feet per second. a) Write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of function is the height function? How do you know? b) Display the graph of the function you found from a) above. Copy the graph onto your paper and label its axes. c) What is the maximum height of the basketball, and when does it reach that height? Show your work and explain your answer. d) When does the basketball hit the ground? Show your work and explain your answer. e) Write the function that describes the height of Joe's basketball, in terms of time measured in seconds. f) Which basketball reaches a greater height? Show work and explain your answer. g) Is there a time when the basketballs are at the same height? Set up the equation and use algebra, showing your work. Write the conclusion in a complete sentence. h) Which basketball stays up in the air longer? Show work and explain your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS