BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Question

Chapter 3.4, Problem 65E

(a)

To determine

The graph of the equation of the models.

(a)

Expert Solution

Explanation of Solution

Given information:

The given height of the launching pad:

ho=30ft

The given initial velocity of my model:

v1=105ft/sec

The given initial velocity of my friend’s model:

v1=100ft/sec

Formula used:

Height of rocket:

h=−16t2+vot+ho

Consider the equation for height:

h=−16t2+vot+ho

Substitute the 105ft/sec for v1=105ft/sec and 30ft to find ho in the equation h=−16t2+v1t+ho

h1=−16t2+v1t+30=−16t2+105t+30

Substitute the 100ft/sec for

v1 and 30ft to find ho in the equation h=−16t2+v2t+ho

h2=−16t2+v1t+30=−16t2+100t+30

Use a graphing calculator to plot the function.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 3.4, Problem 65E

(b)

To determine

The time my rocket will need to reach 119 ft .

(b)

Expert Solution

Answer to Problem 65E

The required time is 1sec or 5.563 sec .

Explanation of Solution

Given information:

The given height of my rocket:

h=119ft

Formula used:

Height of rocket:

h1=−16t2+105t+30

Consider the equation for height:

h1=−16t2+105t+30

Substitute the 119ft to find h in the equation h1=−16t2+105t+30

h1=−16t2+105t+30119=−16t2+105t+3016t2−105t+89=0

Solve the above equation to find the time needed:

t= 1 ot t= 5.563

Hence the required time is 1sec or 5.563 sec .

Chapter 3.4, Problem 64E

Chapter 3.4, Problem 66E

Chapter 3 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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