Concept explainers
The height of cliff.
Answer to Problem 45P
46 m.
Explanation of Solution
Given:
Initial velocity of the rock as it dropped from the cliff
Time taken by rock to strike the ocean
Acceleration experienced by rock = acceleration due to gravity
Height of the cliff
Initial position of rock as it leaves the cliff
Final position of rock as it strikes the ocean
Speed of sound
Distance traveled by sound after rock hits the ocean
Time taken by sound to travel from ocean to top of cliff
Time of hearing the sound of rock striking the ocean
Formula Used:
Kinematics equation that relates initial position, final position, initial velocity, acceleration and time of an object is given as
For a constant speed motion, distance is related to time and speed as
Calculation:
Consider the motion of sound after rock strikes the ocean.
Using the equation
Total time for hearing the sound of rock striking the ocean is given as
Using equation (1).
Consider the motion of the rock as it falls from the cliff.
Use the kinematics equation
Substituting the values
Using equation (2)
Conclusion:
Therefore, height of the cliff is 46 m.
Chapter 2 Solutions
Physics: Principles with Applications
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