Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
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Chapter 15.2, Problem 49E

(a)

To determine

To find: The upward velocity of the football.

(a)

Expert Solution
Check Mark

Answer to Problem 49E

The upward velocity of the football is 80−32t ft/s .

Explanation of Solution

Given information:

The given equation is h(t)=3+80t−16t2 .

Calculation:

Calculate thenupward velocity of the football by using derivative of its height.

  h(t)=3+80t−16t2h'(t)=0+80−16(2t)=80−16(2t)

Therefore, the upward velocity of the football is 80−32t ft/s .

(b)

To determine

To find: The velocity at 1 sec after it is kicked.

(b)

Expert Solution
Check Mark

Answer to Problem 49E

The velocity at 1 sec after it is kicked is 48 ft/s .

Explanation of Solution

Given information:

The given equation is h(t)=3+80t−16t2 .

Calculation:

The velocity of the football is given by.

  v(t)=80−32t ft/s

Calculate the velocity at 1 sec after it is kicked.

  v(1)=80−16(2)(1)=80−32=48

Therefore, the velocity at 1 sec after it is kicked is 48 ft/s .

(c)

To determine

To find: The time when the ball reaches its maximum height.

(c)

Expert Solution
Check Mark

Answer to Problem 49E

The ball reaches its maximum height at 2⋅5 sec .

Explanation of Solution

Given information:

The given equation is h(t)=3+80t−16t2 .

Calculation:

when the ball reaches its maximum height, it is neither raising nor falling, hence velocity becomes zero.

  v(t)=0 and h'(t)=0

  80−32t=0t=8032t=52

Therefore, the ball reaches its maximum height at 2⋅5 sec .

(d)

To determine

To find: The maximum height of the ball.

(d)

Expert Solution
Check Mark

Answer to Problem 49E

The maximum height of the ball is 103 ft .

Explanation of Solution

Given information:

The given equation is h(t)=3+80t−16t2 .

Calculation:

The maximum height of the ball is at 2⋅5 sec .

  h(2⋅5)=3+80(2⋅5)−16(2⋅5)2=103 ft

Therefore, the maximum height of the ball is 103 ft .

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Chapter 15.2, Problem 48E
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Chapter 15.2, Problem 50E

Chapter 15 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 15.1 - Prob. 1GCECh. 15.1 - Prob. 2GCECh. 15.1 - Prob. 3GCECh. 15.1 - Prob. 4GCECh. 15.1 - Prob. 5GCECh. 15.1 - Prob. 1CFUCh. 15.1 - Prob. 2CFUCh. 15.1 - Prob. 3CFUCh. 15.1 - Prob. 4CFUCh. 15.1 - Prob. 5CFU
Ch. 15.1 - Prob. 6CFUCh. 15.1 - Prob. 7CFUCh. 15.1 - Prob. 8CFUCh. 15.1 - Prob. 9CFUCh. 15.1 - Prob. 10CFUCh. 15.1 - Prob. 11CFUCh. 15.1 - Prob. 12ECh. 15.1 - Prob. 13ECh. 15.1 - Prob. 14ECh. 15.1 - Prob. 15ECh. 15.1 - Prob. 16ECh. 15.1 - Prob. 17ECh. 15.1 - Prob. 18ECh. 15.1 - Prob. 19ECh. 15.1 - Prob. 20ECh. 15.1 - Prob. 21ECh. 15.1 - Prob. 22ECh. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.1 - Prob. 26ECh. 15.1 - Prob. 27ECh. 15.1 - Prob. 28ECh. 15.1 - Prob. 29ECh. 15.1 - Prob. 30ECh. 15.1 - Prob. 31ECh. 15.1 - Prob. 32ECh. 15.1 - Prob. 33ECh. 15.1 - Prob. 34ECh. 15.1 - Prob. 35ECh. 15.1 - Prob. 36ECh. 15.1 - Prob. 37ECh. 15.1 - Prob. 38ECh. 15.1 - Prob. 39ECh. 15.1 - Prob. 40ECh. 15.1 - Prob. 41ECh. 15.1 - Prob. 42ECh. 15.1 - Prob. 43ECh. 15.1 - Prob. 44ECh. 15.1 - Prob. 45ECh. 15.1 - Prob. 46ECh. 15.1 - Prob. 47ECh. 15.1 - Prob. 48ECh. 15.1 - Prob. 49ECh. 15.1 - Prob. 50ECh. 15.1 - Prob. 51ECh. 15.1 - Prob. 52ECh. 15.1 - Prob. 53ECh. 15.1 - Prob. 54ECh. 15.1 - Prob. 55ECh. 15.1 - Prob. 56ECh. 15.1 - Prob. 57ECh. 15.1 - Prob. 58ECh. 15.2A - Prob. 1GCECh. 15.2A - Prob. 2GCECh. 15.2A - Prob. 3GCECh. 15.2A - Prob. 4GCECh. 15.2A - Prob. 5GCECh. 15.2A - Prob. 6GCECh. 15.2A - Prob. 7GCECh. 15.2A - Prob. 8GCECh. 15.2A - Prob. 9GCECh. 15.2 - Prob. 1CFUCh. 15.2 - Prob. 2CFUCh. 15.2 - Prob. 3CFUCh. 15.2 - Prob. 4CFUCh. 15.2 - Prob. 5CFUCh. 15.2 - Prob. 6CFUCh. 15.2 - Prob. 7CFUCh. 15.2 - Prob. 8CFUCh. 15.2 - Prob. 9CFUCh. 15.2 - Prob. 10CFUCh. 15.2 - Prob. 11CFUCh. 15.2 - Prob. 12CFUCh. 15.2 - Prob. 13CFUCh. 15.2 - Prob. 14ECh. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - Prob. 18ECh. 15.2 - Prob. 19ECh. 15.2 - Prob. 20ECh. 15.2 - Prob. 21ECh. 15.2 - Prob. 22ECh. 15.2 - Prob. 23ECh. 15.2 - Prob. 24ECh. 15.2 - Prob. 25ECh. 15.2 - Prob. 26ECh. 15.2 - Prob. 27ECh. 15.2 - Prob. 28ECh. 15.2 - Prob. 29ECh. 15.2 - Prob. 30ECh. 15.2 - Prob. 31ECh. 15.2 - Prob. 32ECh. 15.2 - Prob. 33ECh. 15.2 - Prob. 34ECh. 15.2 - Prob. 35ECh. 15.2 - Prob. 36ECh. 15.2 - Prob. 37ECh. 15.2 - Prob. 38ECh. 15.2 - Prob. 39ECh. 15.2 - Prob. 40ECh. 15.2 - Prob. 41ECh. 15.2 - Prob. 42ECh. 15.2 - Prob. 43ECh. 15.2 - Prob. 44ECh. 15.2 - Prob. 45ECh. 15.2 - Prob. 46ECh. 15.2 - Prob. 47ECh. 15.2 - Prob. 48ECh. 15.2 - Prob. 49ECh. 15.2 - Prob. 50ECh. 15.2 - Prob. 51ECh. 15.2 - Prob. 52ECh. 15.2 - Prob. 53ECh. 15.2 - Prob. 54ECh. 15.2 - Prob. 55ECh. 15.2 - Prob. 56ECh. 15.2 - Prob. 57ECh. 15.2 - Prob. 58ECh. 15.2 - Prob. 59ECh. 15.2 - Prob. 60ECh. 15.2 - Prob. 61ECh. 15.2 - Prob. 62ECh. 15.2 - Prob. 63ECh. 15.2 - Prob. 1MCQCh. 15.2 - Prob. 2MCQCh. 15.2 - Prob. 3MCQCh. 15.2 - Prob. 4MCQCh. 15.2 - Prob. 5MCQCh. 15.2 - Prob. 6MCQCh. 15.2 - Prob. 7MCQCh. 15.2 - Prob. 8MCQCh. 15.2 - Prob. 9MCQCh. 15.2 - Prob. 10MCQCh. 15.3 - Prob. 1CFUCh. 15.3 - Prob. 2CFUCh. 15.3 - Prob. 3CFUCh. 15.3 - Prob. 4CFUCh. 15.3 - Prob. 5CFUCh. 15.3 - Prob. 6CFUCh. 15.3 - Prob. 7CFUCh. 15.3 - Prob. 8CFUCh. 15.3 - Prob. 9CFUCh. 15.3 - Prob. 10ECh. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Prob. 18ECh. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Prob. 22ECh. 15.3 - Prob. 23ECh. 15.3 - Prob. 24ECh. 15.3 - Prob. 25ECh. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.3 - Prob. 29ECh. 15.3 - Prob. 30ECh. 15.3 - Prob. 31ECh. 15.3 - Prob. 32ECh. 15.3 - Prob. 33ECh. 15.3 - Prob. 34ECh. 15.3 - Prob. 35ECh. 15.3 - Prob. 36ECh. 15.3 - Prob. 37ECh. 15.3 - Prob. 38ECh. 15.3 - Prob. 39ECh. 15.3 - Prob. 40ECh. 15.3 - Prob. 41ECh. 15.4 - Prob. 1CFUCh. 15.4 - Prob. 2CFUCh. 15.4 - Prob. 3CFUCh. 15.4 - Prob. 4CFUCh. 15.4 - Prob. 5CFUCh. 15.4 - Prob. 6CFUCh. 15.4 - Prob. 7CFUCh. 15.4 - Prob. 8CFUCh. 15.4 - Prob. 9CFUCh. 15.4 - Prob. 10CFUCh. 15.4 - Prob. 11CFUCh. 15.4 - Prob. 12CFUCh. 15.4 - Prob. 13CFUCh. 15.4 - Prob. 14CFUCh. 15.4 - Prob. 15ECh. 15.4 - Prob. 16ECh. 15.4 - Prob. 17ECh. 15.4 - Prob. 18ECh. 15.4 - Prob. 19ECh. 15.4 - Prob. 20ECh. 15.4 - Prob. 21ECh. 15.4 - Prob. 22ECh. 15.4 - Prob. 23ECh. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - Prob. 27ECh. 15.4 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - Prob. 30ECh. 15.4 - Prob. 31ECh. 15.4 - Prob. 32ECh. 15.4 - Prob. 33ECh. 15.4 - Prob. 34ECh. 15.4 - Prob. 35ECh. 15.4 - Prob. 36ECh. 15.4 - Prob. 37ECh. 15.4 - Prob. 38ECh. 15.4 - Prob. 39ECh. 15.4 - Prob. 40ECh. 15.4 - Prob. 41ECh. 15.4 - Prob. 42ECh. 15.4 - Prob. 43ECh. 15.4 - Prob. 44ECh. 15.4 - Prob. 45ECh. 15.4 - Prob. 46ECh. 15.4 - Prob. 47ECh. 15.4 - Prob. 48ECh. 15.4 - Prob. 49ECh. 15.4 - Prob. 50ECh. 15.4 - Prob. 51ECh. 15.4 - Prob. 52ECh. 15.4 - Prob. 53ECh. 15.4 - Prob. 54ECh. 15.4 - Prob. 55ECh. 15.4 - Prob. 56ECh. 15.4 - Prob. 57ECh. 15.4 - Prob. 58ECh. 15.4 - Prob. 59ECh. 15.4 - Prob. 60ECh. 15 - Prob. 1SGACh. 15 - Prob. 2SGACh. 15 - Prob. 3SGACh. 15 - Prob. 4SGACh. 15 - Prob. 5SGACh. 15 - Prob. 6SGACh. 15 - Prob. 7SGACh. 15 - Prob. 8SGACh. 15 - Prob. 9SGACh. 15 - Prob. 10SGACh. 15 - Prob. 11SGACh. 15 - Prob. 12SGACh. 15 - Prob. 13SGACh. 15 - Prob. 14SGACh. 15 - Prob. 15SGACh. 15 - Prob. 16SGACh. 15 - Prob. 17SGACh. 15 - Prob. 18SGACh. 15 - Prob. 19SGACh. 15 - Prob. 20SGACh. 15 - Prob. 21SGACh. 15 - Prob. 22SGACh. 15 - Prob. 23SGACh. 15 - Prob. 24SGACh. 15 - Prob. 25SGACh. 15 - Prob. 26SGACh. 15 - Prob. 27SGACh. 15 - Prob. 28SGACh. 15 - Prob. 29SGACh. 15 - Prob. 30SGACh. 15 - Prob. 31SGACh. 15 - Prob. 32SGACh. 15 - Prob. 33SGACh. 15 - Prob. 34SGACh. 15 - Prob. 35SGACh. 15 - Prob. 36SGACh. 15 - Prob. 37SGACh. 15 - Prob. 38SGACh. 15 - Prob. 39SGACh. 15 - Prob. 40SGACh. 15 - Prob. 41SGACh. 15 - Prob. 42SGACh. 15 - Prob. 43SGACh. 15 - Prob. 44SGACh. 15 - Prob. 45SGACh. 15 - Prob. 46SGACh. 15 - Prob. 47SGACh. 15 - Prob. 48SGACh. 15 - Prob. 49SGACh. 15 - Prob. 50SGACh. 15 - Prob. 51SGACh. 15 - Prob. 52SGACh. 15 - Prob. 53SGACh. 15 - Prob. 1SAPCh. 15 - Prob. 2SAPCh. 15 - Prob. 3SAPCh. 15 - Prob. 4SAPCh. 15 - Prob. 5SAPCh. 15 - Prob. 6SAPCh. 15 - Prob. 7SAPCh. 15 - Prob. 8SAPCh. 15 - Prob. 9SAPCh. 15 - Prob. 10SAP

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