Acceleration of water drops problem

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Homework Help Overview

The discussion revolves around the estimation of the speed at which raindrops would strike the ground when treated as freely falling objects, ignoring air resistance. The context is set within the subject area of kinematics, specifically focusing on the equations of motion under constant acceleration.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of kinematic equations to determine the final velocity of falling raindrops. Questions arise regarding the sign and value of acceleration in the context of the problem, with some participants attempting to clarify the correct interpretation of the variables involved.

Discussion Status

The discussion is active, with participants providing insights and questioning the assumptions made about acceleration. There is a suggestion to reconsider the value of acceleration used in the calculations, indicating a potential direction for further exploration.

Contextual Notes

Some participants note that both displacement and acceleration are treated as negative in the original poster's calculations, leading to confusion about the expected results. There is also mention of the original poster's intent to prepare for a physics olympiad, which adds a layer of context to the discussion.

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Homework Statement



If the effects of air acting on falling raindrops are ignored, then we can treat raindrops as freely falling objects. Rain clouds are typically a few hundred feet up in the sky. Estimate the speed which raindrops would strike the ground if they were freely falling objects.

Homework Equations



vf^2=vo^2+2as
vf-TARGET
v0- 0
s- 200
a- -9.8

The Attempt at a Solution


Ok I know the answer, but I don't understand something. What I did was put all my knowns into the equation. Then this is what it looks like.
vf^2= -3920
That is obviously unreal. Then I see that there is a problem with the acceleration. WHY? I thought acceleration of freely falling objects was -9.8.
 
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Oh and by the way this is not homework. My goal is to make the iPHO in my high school years. This problem is from University Physics. Which book do you pros recommend to prepare for olympiad problems? University Physics or Fundamental Physics or others?
 


s and a are both negative here.
 


If I'm not mistaken, the acceleration of freely falling objects near the surface of the Earth is 9.8 m/s2, so a would be 9.8, try plugging that into the equation. :smile:
 

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