Concept explainers
A boy
(a) What is the highest point above the ground reached by the rocket?
(b) When does the rocket hit the ground?
(a)
To find:
The highest point above the ground reached by the rocket.
Answer to Problem 1AP
Solution:
The highest point above the ground reached by the rocket is
Explanation of Solution
Given:
The height of boy is
The shootings speed is
The acceleration due to gravity is
Formula used:
The equation of motion is,
Calculation:
Consider the motion equation.
Differentiate the equation
At the maximum height the velocity is zero and acceleration due to gravity will be negative because object is moving against the gravity.
Substitute
Substitute
Therefore, the highest point above the ground reached by the rocket is
Conclusion:
Thus, the highest point above the ground reached by the rocket is
(b)
To find:
The time at which the rocket hit the ground.
Answer to Problem 1AP
Solution:
The time at which the rocket hit the ground
Explanation of Solution
Given:
The height of boy is
The shootings speed is
The acceleration due to gravity is
Formula used:
The equation of motion is,
Calculation:
Consider the motion equation.
At the maximum height the velocity is zero.
Substitute
Therefore, the time at which the rocket hit the ground
Conclusion:
Thus, the time at which the rocket hit the ground
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Chapter 1 Solutions
Differential Equations and Linear Algebra (4th Edition)
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