Concept explainers
How far will a freely falling object have fallen from a position of rest when its instantaneous speed is 10 m/s?
The distance travelled by a freely falling object from a position of rest with a given instantaneous speed.
Answer to Problem 15A
The distance travelled by the object is
Explanation of Solution
Given:
A freely falling object travels at a speed of 10 m/s and it is initially at rest.
Formula used:
The equation of motion which determines the distance travelled or displacement of body moving with particular initial and final velocities and driven by a particular value of acceleration is given by
In this case, a freely falling object is considered. This implies the acceleration acting on it is only acceleration due to gravity, g. The force due to air resistance is also neglected. Thus, the above equation can be rewritten as,
The value of acceleration due to gravity on earth is
Calculation:
Since the object starts from rest, its initial velocity is
Conclusion :
The displacement of the object from its initial position or the distance travelled is 5.1 m.
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Conceptual Physics: The High School Physics Program
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