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

Chapter 15.2, Problem 49E

(a)

To determine

To find: The upward velocity of the football.

(a)

Expert Solution

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

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

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

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 .

Chapter 15.2, Problem 48E

Chapter 15.2, Problem 50E

Chapter 15 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 15.1 - Prob. 1GCE Ch. 15.1 - Prob. 2GCE Ch. 15.1 - Prob. 3GCE Ch. 15.1 - Prob. 4GCE Ch. 15.1 - Prob. 5GCE Ch. 15.1 - Prob. 1CFU Ch. 15.1 - Prob. 2CFU Ch. 15.1 - Prob. 3CFU Ch. 15.1 - Prob. 4CFU Ch. 15.1 - Prob. 5CFU

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