Concept explainers
The vectors represent initial velocities of projectiles launched at ground level.
a. Rank them by their vertical components of velocity from greatest to least.
b. Rank them by their horizontal components of velocity from greatest to least.
(a)
To rank:The initial velocities of projectile by their vertical componentsfrom greatest to least.
Answer to Problem 14A
The rank of the initial velocities of projectile by their vertical components of velocities from greatest to least is
Explanation of Solution
Given:
The given vectors are shown below.
Formula used:
The expression for the vertical component of velocity is
Here,
Calculation:
The vertical component of velocity for case A is,
The vertical component of velocity for case B is,
The vertical component of velocity for case C is,
The vertical component of velocity for case D is,
Hence, the rank of the initial velocities of projectile by their vertical components of velocities from greatest to least is
Conclusion:
Thus, the rank of the initial velocities of projectile by their vertical components of velocities from greatest to least is
(b)
To rank:The initial velocities of projectile by their horizontal componentsfrom greatest to least.
Answer to Problem 14A
The rank of the initial velocities of projectile by their horizontal components of velocities from greatest to least is
Explanation of Solution
Given:
The given vectors are shown below.
Formula used:
The expression for the horizontal component of velocity is,
Here,
Calculation:
The horizontal component of velocity for case A is,
The horizontal component of velocity for case B is,
The horizontal component of velocity for case C is,
The horizontal component of velocity for case D is,
Hence, the rank of the initial velocities of projectile by their horizontal components of velocities from greatest to least is
Conclusion:
Thus, the rank of the initial velocities of projectile by their horizontal components of velocities from greatest to least is
Chapter 5 Solutions
Conceptual Physics: The High School Physics Program
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