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## Homework Statement

A car and driver weighing 5530 N passes a

sign stating "Bridge Out 25.5 m Ahead." She

slams on the brakes, and the car decelerates

at a constant rate of 13.7 m/s^2 :

The acceleration of gravity is 9.8 m/s^2 :

What is the magnitude of the work done

stopping the car if the car just stops in time

to avoid diving into the water? Answer in

units of J.

## Homework Equations

This is where I'm stuck. In class today we learned about Conservation of Energy and I don't know if that applies here.

I know there is constant acceleration in forward direction so I could use Kinematics but I don't know where to go from there I'm confused as to what sign to designate to 13.7 m/s^2.

So far I have: Vf^2=Vo^2+2a(deltaX)

0=Vo^2+2(-13.7 m/s^2)(25.5m)

Vo^2=698.7

Vo=26.432934 m/s

## The Attempt at a Solution

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