Concept explainers
The acceleration due to gravity at an altitude y above the surface of the earth be expressed as
To calculate:
The height reached by a projectile fired vertically upward from the surface of the earth if its initial velocity is 1800 ft/s.
Answer to Problem 11.29P
If the initial velocity is
Explanation of Solution
Given information:
The acceleration due to gravity at an altitude
Concept used:
Substitute
Calculation:
Let
Therefore, the equation can be written as;
Calculate the maximum height the projectile will reach; when this happens
When
Conclusion:
If the initial velocity is
If the initial velocity is
To calculate:
The height reached by a projectile fired vertically upward from the surface of the earth if its initial velocity is 3000 ft/s.
Explanation of Solution
Calculation:
When
Conclusion:
If the initial velocity is
To calculate:
The height reached by a projectile fired vertically upward from the surface of the earth if its initial velocity is 36700 ft/s.
Answer to Problem 11.29P
When projected at
Explanation of Solution
Calculation:
Consider equation
Rearrange the equation;
When the right hand side denominator is zero,
Therefore, when the projectile has an initial velocity greater than or equal to
Hence, when projected at
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Chapter 11 Solutions
Vector Mechanics For Engineers
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