Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a seat belt can withstand an acceleration of -300 m/s². How think should barriers be to safely stop a car that hits a barrier at 110 km/h?

3 answers

Vf^2=Vi^2-2ad

solve for d, that is the thickness of the barriers.
I had assumed as much but I couldn't find the appropriate formula in the chapter given...

While I'm sure that'll get me the correct answer I get the feeling that I was expected to use another formula.

Anything else come to mind?
It would help if you give the context.
Is your chapter on work and energy?

KE = kinetic energy = (1/2)mVi²
Work done
= force * distance
= ma * distance

Equate KE to Work done:

(1/2)mVi² = maD
or D=(1/2)Vi²/a

(Same result as what Mr. Pursley gave)