Solve Track Runner Deceleration Problem

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A track runner decelerates uniformly, coming to a stop in 3.50 seconds while covering 12.0 meters. The initial speed can be calculated using kinematic equations, specifically rearranging the formula to incorporate initial and final velocities, time, and displacement. The user initially calculated the average speed as 3.43 m/s but needed clarification on using the correct formula for initial velocity. Guidance was provided to refer to kinematics resources for a deeper understanding of motion equations. The discussion emphasizes the importance of correctly identifying initial speed in deceleration scenarios.
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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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