Concept explainers
a. How far below an initial straight-line path will a projectile fall in one second?
b. Does your answer depend on the angle of launch or on the initial speed of the projectile? Defend your answer.
(a)
The distance below an initial straight-line path travelled by projectile while falling off.
Answer to Problem 10A
The distance below an initial straight-line path travelled by projectile while falling off is
Explanation of Solution
Given:
The time period is
Formula used:
The expression for equation of motion under constant acceleration is,
Here,
Calculation:
Consider the acceleration due to gravity as
The distance below an initial straight-line path will a projectile fall in one second is,
Conclusion:
Thus, the distance below an initial straight-line path travelled by projectile while falling off in one second is
(b)
To identify:Whether the distance travelled obtained in part (a) depends on the angle of launch or on the initial speed of the projectile.
Answer to Problem 10A
The distance neither depend on the angle of launch nor on the initial speed of the projectile.
Explanation of Solution
Given:
The time period is
Formula used:
The expression for equation of motion under constant acceleration is,
Here,
Calculation:
The expression for vertical distance below the line is,
Here,
The equation of vertical distance is not relative to the angle of launch or the initial speed of the projectile. It is relative to the acceleration due to gravity and the time.
Conclusion:
Thus, the distance doesn’t depend on the angle of launch or on the initial speed of the projectile.
Chapter 5 Solutions
Conceptual Physics: The High School Physics Program
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