If a car moving at 72.0 takes 300 to stop with uniform acceleration after its brakes are applied, how far will it take to stop under the same conditions if its initial velocity is 36.0 ?

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If a car moving at 72.0 takes 300 to stop with uniform acceleration after its brakes are applied, how far will it take to stop under the same conditions if its initial velocity is 36.0 ?

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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i got it wrong
These are my choices 15.0 37.5 75.0 150
But it isn't 150?

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Other answers:

no i got it wrong
first, you need to find out how much acceleration (but slowing down, not going faster, so it will be negative) the car has. do this by using the equation vf^2 = vi^2 + 2ax. substitute in what you already know to find the acceleration. vf=0, vi=72, x=300. then use the same equation after solving for "a" to find x. set vf = 0, vi = 36, a = "a" from previous, and solve for x
hint: a = -8.64 from solving the first equation. put it into the second equation to get x = 75
ok thanks

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