The height of a projected object on the moon is approximated by the function: S(t) = -2.7t2 + Vot + So, where S(t) is the height in feet of an object projected directly upward, with an initial velocity of vo feet per second, a starting height of so feet, and t is the number of seconds after the object is projected. In this example, an astronaut on the moon throws a baseball upward. The astronaut is 6'6" = 6.5' tall and the initial velocity of the ball is 30 feet per second, so that s(t) = -2.7t2 + 30t + 6.5. Answer the following questions (a-c) about the ball thrown on the moon. Give your answers in complete sentences including units of measure, SHOW YOUR WORK, and draw a comprehensive graph of the rocket's path, labelling the x-and y-axes, as well as all of the relevant points on your graph. a) After how many seconds is the ball 12 feet above the moon's surface? (HINT: There are two se points. Determine these points GRAPHICALLY, by graphing the appropriate functions and finding the intersection points on your calculator (Press 2nd CALC 5 (intersect), give it the left bound and the right bound, and press Enter). What are the points? Label the x,y coordinates of these points on a comprehensive graph below). R=-2.7 2.7t t = 30I TE30]?-4(2.7X5-S) t=30t J840.b 30t t6-5 -36€+5.5 5.4 t= 10.9246 O. 1865 ACT-7) b) How many seconds after it is thrown will the ball return to the moon's surface? Determine these points GRAPHICALLY, by finding the ZERO on your calculator (Press 2nd CALC 2 (zero), give it the left bound and the right bound, and press Enter). What is the point? Label the x,y coordinates of this point on your comprehensive graph below). 6- --74 +30¢ +6.5 2.7¢-36t-6.5=0 t = 30t JC-30 -4 c2.7)(-65) %3D t= 11.3?37 %3D © Schmitz 20 22:7) t= -0.2176 Unit 2: Polynomial, Rational, Power and Root Fuheti c) The ball will never reach a height of 100 feet. How can this be determined ANALYTICALLY? SHOW YOUR WORK and give your answer in a complete sentence. i60 =-2.7 + 30€ +6.5 36t 2.7t -304 + 93.5=0 5.4 tz imngtoany no. 2-27 ixorggs noom d) GRAPHICAL SOLUTION CILECA DMSLg (Draw a comprehensive graph of the functions from parts a-c above, labelling the x-y axis and the x,y coordinates of all of the relevant points from those problems):

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
icon
Concept explainers
Question

Question D, The graph

The height of a projected object on the moon is approximated by the function:
S(t) = -2.7t2 + Vot + So, where
S(t) is the height in feet of an object projected directly upward,
with an initial velocity of vo feet per second,
a starting height of so feet, and
t is the number of seconds after the object is projected.
In this example, an astronaut on the moon throws a baseball upward. The astronaut is 6'6" = 6.5' tall
and the initial velocity of the ball is 30 feet per second, so that s(t) = -2.7t2 + 30t + 6.5.
Answer the following questions (a-c) about the ball thrown on the moon. Give your answers in complete
sentences including units of measure, SHOW YOUR WORK, and draw a comprehensive graph of the
rocket's path, labelling the x-and y-axes, as well as all of the relevant points on your graph.
a) After how many seconds is the ball 12 feet above the moon's surface? (HINT: There are two se
points. Determine these points GRAPHICALLY, by graphing the appropriate functions and finding the
intersection points on your calculator (Press 2nd CALC 5 (intersect), give it the left bound and the
right bound, and press Enter). What are the points? Label the x,y coordinates of these points on a
comprehensive graph below).
R=-2.7
2.7t
t = 30I TE30]?-4(2.7X5-S)
t=30t J840.b
30t t6-5
-36€+5.5
5.4
t= 10.9246
O. 1865
ACT-7)
b) How many seconds after it is thrown will the ball return to the moon's surface?
Determine these points GRAPHICALLY, by finding the ZERO on your calculator (Press 2nd CALC 2
(zero), give it the left bound and the right bound, and press Enter). What is the point? Label the x,y
coordinates of this point on your comprehensive graph below).
6- --74 +30¢ +6.5
2.7¢-36t-6.5=0
t = 30t JC-30 -4 c2.7)(-65)
%3D
t= 11.3?37
%3D
© Schmitz 20
22:7)
t= -0.2176
Transcribed Image Text:The height of a projected object on the moon is approximated by the function: S(t) = -2.7t2 + Vot + So, where S(t) is the height in feet of an object projected directly upward, with an initial velocity of vo feet per second, a starting height of so feet, and t is the number of seconds after the object is projected. In this example, an astronaut on the moon throws a baseball upward. The astronaut is 6'6" = 6.5' tall and the initial velocity of the ball is 30 feet per second, so that s(t) = -2.7t2 + 30t + 6.5. Answer the following questions (a-c) about the ball thrown on the moon. Give your answers in complete sentences including units of measure, SHOW YOUR WORK, and draw a comprehensive graph of the rocket's path, labelling the x-and y-axes, as well as all of the relevant points on your graph. a) After how many seconds is the ball 12 feet above the moon's surface? (HINT: There are two se points. Determine these points GRAPHICALLY, by graphing the appropriate functions and finding the intersection points on your calculator (Press 2nd CALC 5 (intersect), give it the left bound and the right bound, and press Enter). What are the points? Label the x,y coordinates of these points on a comprehensive graph below). R=-2.7 2.7t t = 30I TE30]?-4(2.7X5-S) t=30t J840.b 30t t6-5 -36€+5.5 5.4 t= 10.9246 O. 1865 ACT-7) b) How many seconds after it is thrown will the ball return to the moon's surface? Determine these points GRAPHICALLY, by finding the ZERO on your calculator (Press 2nd CALC 2 (zero), give it the left bound and the right bound, and press Enter). What is the point? Label the x,y coordinates of this point on your comprehensive graph below). 6- --74 +30¢ +6.5 2.7¢-36t-6.5=0 t = 30t JC-30 -4 c2.7)(-65) %3D t= 11.3?37 %3D © Schmitz 20 22:7) t= -0.2176
Unit 2: Polynomial, Rational, Power and Root Fuheti
c) The ball will never reach a height of 100 feet. How can this be determined ANALYTICALLY?
SHOW YOUR WORK and give your answer in a complete sentence.
i60 =-2.7
+ 30€ +6.5
36t
2.7t -304
+ 93.5=0
5.4
tz imngtoany
no.
2-27
ixorggs noom
d) GRAPHICAL SOLUTION
CILECA DMSLg
(Draw a comprehensive graph of the functions from parts a-c above, labelling the x-y axis and the x,y
coordinates of all of the relevant points from those problems):
Transcribed Image Text:Unit 2: Polynomial, Rational, Power and Root Fuheti c) The ball will never reach a height of 100 feet. How can this be determined ANALYTICALLY? SHOW YOUR WORK and give your answer in a complete sentence. i60 =-2.7 + 30€ +6.5 36t 2.7t -304 + 93.5=0 5.4 tz imngtoany no. 2-27 ixorggs noom d) GRAPHICAL SOLUTION CILECA DMSLg (Draw a comprehensive graph of the functions from parts a-c above, labelling the x-y axis and the x,y coordinates of all of the relevant points from those problems):
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
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