Estimating Car Speed from Skid Marks

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To estimate the speed of a car that leaves skid marks 92 meters long while decelerating at 7.00 m/s², the kinematic equation v² = u² + 2as can be applied. The confusion arises between speed and velocity, as speed is the magnitude of velocity without direction. The calculation yields a negative value for velocity, indicating a need to reassess the signs used in the equation. By rearranging the formula, the initial speed can be determined correctly. Understanding the distinction between speed and velocity is crucial for accurate calculations.
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Homework Statement


In coming to a stop a car leaves skid marks 92m long on the highway. Assuming a decceleration of 7.00 m/s^2 , estimate the SPEED of the car just before braking.

I have a question though, is my approach ok? You can see my confusion in various parts of my procedures below, I guess it's the fact that it says find speed not velocity.

Homework Equations


Kinematic Equation for constant acceleration.



The Attempt at a Solution



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Speed=velocity lol
 
I got -35m/s as my velocity though
 
Speed is the magnitude of velocity and has no direction.

EDIT: Assuming you are using the formula: v^2=u^2+2as you may need to check what you are using as v and u and be careful of your signs.

0 = u^2 +2as
u^2=-2as

Does that make sense?
 
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