Solve Track Runner Deceleration Problem

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Homework Help Overview

The problem involves a track runner who decelerates uniformly after finishing a race, covering a distance of 12.0 meters in 3.50 seconds before coming to a complete stop. The objective is to determine her speed at the end of the race.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to find the initial speed, with some attempting to apply the formula v = d/t. Others suggest considering the negative acceleration due to deceleration and question the assumptions about the runner's initial velocity.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the relevant equations. Some guidance has been offered regarding the need for a formula that incorporates initial and final velocities, time, and displacement.

Contextual Notes

There is some confusion regarding the initial conditions, particularly whether the runner starts from rest or at the speed she finished the race. Participants are encouraged to clarify these assumptions as they work through the problem.

cerberus9
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I reeeeeeeeally need help with thiss. thanks :)

Homework Statement


A track runner finishes a race and begins to slow down in a uniform manner. In 3.50 seconds, she comes to a complete stop, covering 12.0 meters while doing so. What was her speed when she finished the race?


Homework Equations



v=d/t
d=vot+ 1/2 at2

The Attempt at a Solution



I don't really know how to find the original speed so i did v=d/t
12.0/3.50=3.43 m/s
 
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cerberus9 said:
I reeeeeeeeally need help with thiss. thanks :)

Homework Statement


A track runner finishes a race and begins to slow down in a uniform manner. In 3.50 seconds, she comes to a complete stop, covering 12.0 meters while doing so. What was her speed when she finished the race?


Homework Equations



v=d/t
d=vot+ 1/2 at2

The Attempt at a Solution



I don't really know how to find the original speed so i did v=d/t
12.0/3.50=3.43 m/s
The car is retarding. So the acceleration is negative.
Rewrite the relevant equation with negative a.
 
You are on the right lines with the second formula you posted. Do you know a rearrangement of it? You need to find a formula with initial and final velocities, time and displacement.
 
You should assume that she stated at rest.
 
rock.freak667 said:
You should assume that she stated at rest.

but it starts when she finishes the race. so i should have her initial velocity be the speed she finishes the race at, no?
 
Diode said:
You are on the right lines with the second formula you posted. Do you know a rearrangement of it? You need to find a formula with initial and final velocities, time and displacement.

i don't. >.<
 
cerberus9 said:
but it starts when she finishes the race. so i should have her initial velocity be the speed she finishes the race at, no?

Correct.

Do you have a textbook with a section on kinematics? Or even have a look here...
http://en.wikipedia.org/wiki/Equations_of_motion#Motion_equation_1"

Remember, you're trying to get something with no a term. In earlier physics, kinematics equations are usually presented "as is" but it will be useful for you to understand how you can move between them to help you solve problems. If you can understand that, you can get away with forgetting one in an exam, as you can derive it at the time.

Pick one you think looks right and plug in the information. Have a go and then we'll compare answers ;-)
 
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