Vertical Motion Homework Problem

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A rock is thrown vertically upward from a cliff, reaching a maximum height of 18.6 meters before falling back down, with a total flight time of 6.60 seconds. The problem involves calculating the height of the cliff using kinematic equations, considering gravity's effect at 9.8 m/s². Initial confusion arose regarding the reference point for height and the implications of the rock's speed being zero at maximum height. The solution was clarified through graphical analysis of velocity versus time. The cliff height can be determined by combining the maximum height and the time of flight.
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Homework Statement


A rock is thrown vertically upward from the edge of a cliff. The rock reaches a maximum height of 18.6 m above the top of the cliff before falling to the base of the cliff, landing 6.60 s after it was thrown. How high is the cliff? Assume gravity= 9.8m/s2

Homework Equations


Vyf=Vyo + at
Y=Yo + 1/2(Vyo+Vyf)t
Y=Yo + Vyot + 1/2at2
Vyf2=Vyo2+ 2a(y-yo)

The Attempt at a Solution


I don't know where to start. I must figure out initial speed and the difference between the cliff and the max height. Is the initial position 0 at the height of the cliff or at the max height? Do I care that when the ball reaches the max height the speed is 0?EDIT:Figured it out, I had the dumb for few minutes
 
Last edited:
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Solve it graphically, velocity vs. time.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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