What is the height of the ledge from which the flowerpot fell?

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Homework Help Overview

The problem involves a flowerpot falling from a ledge and the time it takes to pass a window. The context is kinematics, specifically free fall under the influence of gravity, with a focus on calculating the height from which the pot fell based on the observed time and distance.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relevant equations for motion under constant acceleration and question the derivation and application of these equations. There is an exploration of how to relate the distance fallen to the time taken and the acceleration due to gravity.

Discussion Status

Some participants have offered equations that may be applicable to the problem, while others are questioning the variables involved and the assumptions made. There appears to be a productive exchange of ideas regarding how to set up the equations needed to solve for the height.

Contextual Notes

Participants are operating under the assumption that air resistance can be neglected, and there is a focus on using the time it takes for the pot to fall past a specific height to determine the initial height of the ledge.

Susanem7389
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Having trouble with the equation to solve the problem.

A flowerpot falls from the ledge of an apartment building. A person in an apartment below, coincidentally in possession of a high-precision timing system, notices that it takes 0.20 seconds for the pot to fall past his 4.0 m high window. How far above he top of the window is the ledge from which the pot fell? ( Neglect any effects due to air resistance.)
 
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What equation relates distance time and acceleration directly?
 
d= v1(t)+1/2(a)(t) squared

d= ((v1+v2)/2) * t

is that correct?
 
Where you get v2 from?

There is only 1 thing moving. That second equation is some kind of average. Most texts have the free fall equations in them already derived. The first one you have is what you need. Now just think about what the velocity means and you can get your distance.

http://en.wikipedia.org/wiki/Free-fall
 
Susanem7389 said:
d= v1(t)+1/2(a)(t) squared

d= ((v1+v2)/2) * t

is that correct?

The first one is useful. So let's use it.

Can't you determine what the height is it fell from rest to the top of the window?

d = 1/2*g*t2

and then can't you also write another equation for when it passes the bottom of the window?

d + 4 = 1/2*g*(t + .2)2

Glory be. 2 equations and 2 unknowns. The answer can't be far away now.
 

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