Solve for Coconut Drop Height: Kinematics Help on a Sunny Beach Day

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SUMMARY

The discussion centers on calculating the height from which a monkey drops a coconut, given specific parameters. The time taken for the coconut to hit the ground is 190% longer than the time for the sound of the impact to reach the observer. The observer views the drop at an angle of 5 degrees, and the speed of sound is stated as 343 m/s. To solve this problem, one must utilize kinematic equations for free fall and sound propagation.

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  • Understanding of kinematic equations for free fall
  • Knowledge of sound propagation and speed calculations
  • Basic trigonometry for angle measurements
  • Familiarity with the concept of time dilation in sound and motion
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  • Study kinematic equations for vertical motion, specifically for free fall
  • Learn about the relationship between distance, speed, and time in sound propagation
  • Explore trigonometric functions related to angles in physics problems
  • Investigate the effects of gravity on falling objects and how to calculate height
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Students studying physics, educators teaching kinematics, and anyone interested in solving real-world motion problems involving gravity and sound.

bukky
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Hi,
I just joined today and would like help with a question. Here it is:

It is a sunny day and you are lying on a beach . Some distance away across level gropund, is a tall coconut palm. As you watch, a monkey in that tree drops a coconut(from rest) onto hard ground below. The time elapsed from the moment he releases the coconut until it hits the pavement is 190% longer than the time it takes for the impact to reach you. The angle (measured with respect to the ground ) at which you are viewing the monkey when he drops the nut is 5 degrees. Assumimg the speed of sound is constant 343m/s, from what height did the monkey drop the nut?
Thanks
 
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How would you start working on this problem? Draw a sketch of the tree, monkey, coconut, 5 degrees, etc. What kinematic equation will tell you how long it takes the coconut to hit the ground? What sound velocity and distance equation should you use to tell you how long it takes the coconut impact sound to reach you? Then what?
 

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