a.
To find: The time when rocket stopped climbing.
a.
Answer to Problem 18E
The velocity of the rocket is
Explanation of Solution
Given information:
The velocity time graph is as shown below.
Calculation:
From the velocity time graph the
At
So, the velocity at that time is
Conclusion: So, the velocity of the rocket when the engine stopped is
b.
To find: The time duration of the burning of the engine.
b.
Answer to Problem 18E
The time duration is
Explanation of Solution
Given information:
The velocity time graph is as shown below.
Calculation:
From the given graph the
The time duration of the engine burning is
Conclusion: So, the engine burned for
c.
To find: The time and velocity when the rocket reached its highest point.
c.
Answer to Problem 18E
The time is
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
From the graph the time when the rocket reached its highest point is
Conclusion: So, time is
d.
To find: The time and velocity when the parachute pop out.
d.
Answer to Problem 18E
The time is
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
From the graph the time when the parachute pops out is
Conclusion: So, time is
e.
To find: The time of the rocket fall when parachute opened.
e.
Answer to Problem 18E
The time of fall is
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
From the graph the time when the parachute pop out is
So, fall will be equal to
Conclusion: So, time is
f.
To find: The time when acceleration is greatest and when the acceleration is constant.
f.
Answer to Problem 18E
The time when acceleration is greatest when
Explanation of Solution
Given information:
The velocity time graph is shown below.
Calculation:
From the graph the time of greatest acceleration is
From the graph the time of constant acceleration is at
Conclusion: So, time when acceleration is greatest is
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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