a. Answer The velocity of the rocket is 190 f t / sec . Explanation Given information: The velocity time graph is as shown below. Calculation: From the velocity time graph the y axis represents the velocity of the rocket. At t = 2 sec is the time when the engine stopped as from this time the rocket started falling. So, the velocity at that time is 190 f t / sec . Conclusion: So, the velocity of the rocket when the engine stopped is 190 f t / sec . b. To determine To find: The time duration of the burning of the engine. Answer The time duration is 2 sec . Explanation Given information: The velocity time graph is as shown below. Calculation: From the given graph the x axis represents the time at different situations. The time duration of the engine burning is 2 sec . Conclusion: So, the engine burned for 2 sec . c. To determine To find: The time and velocity when the rocket reached its highest point. Answer The time is 8 sec and velocity is 0 f t / sec . Explanation Concept used: The highest point is reached when the velocity is zero. Given information: The velocity time graph is shown below. Calculation: From the graph the highest point is reached when velocity is 0 . From the graph the time when the rocket reached its highest point is t = 8 sec . Conclusion: So, time is 8 sec and velocity is 0 f t / sec . d. To determine To find: The time and velocity when the parachute pop out. Answer The time is 11 sec and velocity is 90 f t / sec . Explanation Concept used: The highest point is reached when the velocity is zero. Given information: The velocity time graph is shown below. Calculation: From the graph the parachute pops out is when velocity is 90 f t / sec . From the graph the time when the parachute pops out is t = 11 sec . Conclusion: So, time is 11 sec and velocity is 90 f t / sec . e. To determine To find: The time of the rocket fall when parachute opened. Answer The time of fall is 3 sec . Explanation Concept used: The highest point is reached when the velocity is zero. Given information: The velocity time graph is shown below. Calculation: From the graph the velocity is 0 at t = 8 sec . From the graph the time when the parachute pop out is t = 11 sec . So, fall will be equal to t = 11 − 8 = 3 sec . Conclusion: So, time is 3 sec . f. To determine To find: The time when acceleration is greatest and when the acceleration is constant. Answer The time when acceleration is greatest when t = 2 sec and when the acceleration is constant is t = 11 sec . Explanation Given information: The velocity time graph is shown below. Calculation: From the graph the time of greatest acceleration is t = 2 sec as after that the engine stopped. From the graph the time of constant acceleration is at t = 11 sec Conclusion: So, time when acceleration is greatest is t = 2 sec and the acceleration is constant when t = 11 sec .

Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020

6th Edition

ISBN: 9781418300203

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Question

Chapter 2.4, Problem 18E

To determine

To find: The time when rocket stopped climbing.

Expert Solution

Answer to Problem 18E

The velocity of the rocket is 190ft/sec .

Explanation of Solution

Given information:

The velocity time graph is as shown below.

Calculation:

From the velocity time graph the y axis represents the velocity of the rocket.

At t=2sec is the time when the engine stopped as from this time the rocket started falling.

So, the velocity at that time is 190ft/sec .

Conclusion: So, the velocity of the rocket when the engine stopped is 190ft/sec .

To determine

To find: The time duration of the burning of the engine.

Expert Solution

Answer to Problem 18E

The time duration is 2sec .

Explanation of Solution

Given information:

The velocity time graph is as shown below.

Calculation:

From the given graph the x axis represents the time at different situations.

The time duration of the engine burning is 2sec .

Conclusion: So, the engine burned for 2sec .

To determine

To find: The time and velocity when the rocket reached its highest point.

Expert Solution

Answer to Problem 18E

The time is 8sec and velocity is 0ft/sec .

Explanation of Solution

Concept used:

The highest point is reached when the velocity is zero.

Given information:

The velocity time graph is shown below.

Calculation:

From the graph the highest point is reached when velocity is 0 .

From the graph the time when the rocket reached its highest point is t=8sec .

Conclusion: So, time is 8sec and velocity is 0ft/sec .

To determine

To find: The time and velocity when the parachute pop out.

Expert Solution

Answer to Problem 18E

The time is 11sec and velocity is 90ft/sec .

Explanation of Solution

Concept used:

The highest point is reached when the velocity is zero.

Given information:

The velocity time graph is shown below.

Calculation:

From the graph the parachute pops out is when velocity is 90ft/sec .

From the graph the time when the parachute pops out is t=11sec .

Conclusion: So, time is 11sec and velocity is 90ft/sec .

To determine

To find: The time of the rocket fall when parachute opened.

Expert Solution

Answer to Problem 18E

The time of fall is 3sec .

Explanation of Solution

Concept used:

The highest point is reached when the velocity is zero.

Given information:

The velocity time graph is shown below.

Calculation:

From the graph the velocity is 0 at t=8sec .

From the graph the time when the parachute pop out is t=11sec .

So, fall will be equal to t=11−8=3sec .

Conclusion: So, time is 3sec .

To determine

To find: The time when acceleration is greatest and when the acceleration is constant.

Expert Solution

Answer to Problem 18E

The time when acceleration is greatest when t=2sec and when the acceleration is constant is t=11sec .

Explanation of Solution

Given information:

The velocity time graph is shown below.

Calculation:

From the graph the time of greatest acceleration is t=2sec as after that the engine stopped.

From the graph the time of constant acceleration is at t=11sec

Conclusion: So, time when acceleration is greatest is t=2sec and the acceleration is constant when t=11sec .

Chapter 2.4, Problem 17E

Chapter 2.4, Problem 19E

Chapter 2 Solutions

Ch. 2.1 - Prob. 1QR Ch. 2.1 - Prob. 2QR Ch. 2.1 - Prob. 3QR Ch. 2.1 - Prob. 4QR Ch. 2.1 - Prob. 5QR Ch. 2.1 - Prob. 6QR Ch. 2.1 - Prob. 7QR Ch. 2.1 - Prob. 8QR Ch. 2.1 - Prob. 9QR Ch. 2.1 - Prob. 10QR

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.2 - Prob. 1QR Ch. 2.2 - Prob. 2QR Ch. 2.2 - Prob. 3QR Ch. 2.2 - Prob. 4QR Ch. 2.2 - Prob. 5QR Ch. 2.2 - Prob. 6QR Ch. 2.2 - Prob. 7QR Ch. 2.2 - Prob. 8QR Ch. 2.2 - Prob. 9QR Ch. 2.2 - Prob. 10QR Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.2 - Prob. 38E Ch. 2.2 - Prob. 39E Ch. 2.2 - Prob. 40E Ch. 2.2 - Prob. 41E Ch. 2.2 - Prob. 42E Ch. 2.2 - Prob. 43E Ch. 2.2 - Prob. 44E Ch. 2.2 - Prob. 45E Ch. 2.2 - Prob. 46E Ch. 2.2 - Prob. 47E Ch. 2.2 - Prob. 48E Ch. 2.3 - Prob. 1QR Ch. 2.3 - Prob. 2QR Ch. 2.3 - Prob. 3QR Ch. 2.3 - Prob. 4QR Ch. 2.3 - Prob. 5QR Ch. 2.3 - Prob. 6QR Ch. 2.3 - Prob. 7QR Ch. 2.3 - Prob. 8QR Ch. 2.3 - Prob. 9QR Ch. 2.3 - Prob. 10QR Ch. 2.3 - Prob. 1E Ch. 2.3 - Prob. 2E Ch. 2.3 - Prob. 3E Ch. 2.3 - Prob. 4E Ch. 2.3 - Prob. 5E Ch. 2.3 - Prob. 6E Ch. 2.3 - Prob. 7E Ch. 2.3 - Prob. 8E Ch. 2.3 - Prob. 9E Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - Prob. 12E Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - Prob. 15E Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Prob. 19E Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - 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Prob. 3RWDT Ch. 2 - Prob. 4RWDT Ch. 2 - Prob. 5RWDT Ch. 2 - Prob. 6RWDT Ch. 2 - Prob. 7RWDT Ch. 2 - Prob. 8RWDT Ch. 2 - Prob. 9RWDT Ch. 2 - Prob. 10RWDT Ch. 2 - Prob. 1RE Ch. 2 - Prob. 2RE Ch. 2 - Prob. 3RE Ch. 2 - Prob. 4RE Ch. 2 - Prob. 5RE Ch. 2 - Prob. 6RE Ch. 2 - Prob. 7RE Ch. 2 - Prob. 8RE Ch. 2 - Prob. 9RE Ch. 2 - Prob. 10RE Ch. 2 - Prob. 11RE Ch. 2 - Prob. 12RE Ch. 2 - Prob. 13RE Ch. 2 - Prob. 14RE Ch. 2 - Prob. 15RE Ch. 2 - Prob. 16RE Ch. 2 - Prob. 17RE Ch. 2 - Prob. 18RE Ch. 2 - Prob. 19RE Ch. 2 - Prob. 20RE Ch. 2 - Prob. 21RE Ch. 2 - Prob. 22RE Ch. 2 - Prob. 23RE Ch. 2 - Prob. 24RE Ch. 2 - Prob. 25RE Ch. 2 - Prob. 26RE Ch. 2 - Prob. 27RE Ch. 2 - Prob. 28RE Ch. 2 - Prob. 29RE Ch. 2 - Prob. 30RE Ch. 2 - Prob. 31RE Ch. 2 - Prob. 32RE Ch. 2 - Prob. 33RE Ch. 2 - Prob. 34RE Ch. 2 - Prob. 35RE Ch. 2 - Prob. 36RE Ch. 2 - Prob. 37RE Ch. 2 - Prob. 38RE Ch. 2 - Prob. 39RE Ch. 2 - Prob. 40RE Ch. 2 - Prob. 41RE Ch. 2 - Prob. 42RE Ch. 2 - Prob. 43RE Ch. 2 - Prob. 44RE Ch. 2 - Prob. 45RE Ch. 2 - Prob. 46RE Ch. 2 - Prob. 47RE Ch. 2 - Prob. 48RE Ch. 2 - Prob. 49RE Ch. 2 - Prob. 50RE Ch. 2 - Prob. 51RE Ch. 2 - Prob. 52RE Ch. 2 - Prob. 53RE Ch. 2 - Prob. 54RE Ch. 2 - Prob. 55RE Ch. 2 - Prob. 56RE Ch. 2 - Prob. 57RE Ch. 2 - Prob. 58RE Ch. 2 - Prob. 59RE Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Prob. 67RE Ch. 2 - Prob. 68RE Ch. 2 - Prob. 69RE Ch. 2 - Prob. 70RE Ch. 2 - Prob. 71RE Ch. 2 - Prob. 72RE Ch. 2 - Prob. 73RE Ch. 2 - Prob. 74RE Ch. 2 - Prob. 75RE Ch. 2 - Prob. 76RE Ch. 2 - Prob. 77RE Ch. 2 - Prob. 78RE Ch. 2 - Prob. 79RE Ch. 2 - Prob. 80RE Ch. 2 - Prob. 81EP Ch. 2 - Prob. 82EP Ch. 2 - Prob. 83EP

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