2. Motion due to gravityFor problem below, make use of the equation of motion of a vertically projected object:1gt² +v,t + So, where s is the height of the object at time t seconds, g is 32 feet per2second? 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 whereeach one lives. At the same time, each friend stands at the edge of the roof and throws up abasketball as hard as possible. Joan's apartment building is 120 feet high, and she throws thebasketball at a speed of 20 feet per second. Joe's apartment building is 105 feet high, and hethrows 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 timemeasured 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 yourpaper and label its axes.c) What is the maximum height of the basketball, and when does it reach that height? Showyour 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 timemeasured 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 usealgebra, 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.

We have to function of height, draw the graph and find the maximum height. According to our…

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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...

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