What domain makes sense for the function in this context?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Instructions

This item has Parts A and B.

Please scroll to the bottom of the page to answer each part.

Complete each of the 2 activities for this Task.
 

Use the information to answer the following questions.

The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.

A model rocket is launched off the ground at an initial velocity of 80 feet per second.

Activity 1 of 2

Part A: Write a function that can be used to describe the flight of the model rocket.

  •  
    A.

    g(t) = -16t2 + 80t

  •  
    B.

    g(t) = -16t2 80

  •  
    C.

    g(t) = -16t2 + t + 80

  •  
    D.

    g(t) = -16t2 + 80t + 80

Activity 2 of 2

Part B: What domain makes sense for the function in this context?

  •  
    A.

    all positive numbers

  •  
    B.

    all real numbers

  •  
    C.

    0 ≤ t ≤ 5

  •  
    D.

    0 ≤ t ≤ 100

 
Exhibits
 
 
 
 
 
 
 
 
Expert Solution
Step A

Given

g(t) = -16t2 + vt + h

 

Also initial velocity v = 80 ft/sec and launched of the ground so initial height

h = 0

Therefore

g(t) = -16t2 + 80t

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