Car impulse physics problem

1. A car moving along a straight road starts to decrease its speed linearly with distance travelled, such that its speed drops from 50 m/s to a value which would approach zero after 100 m. What distance will have been travelled when the car`s acceleration is -10m/s^2 /. Answer is 60m , but how can i do the steps?

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tiny-tim
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You should tell us what have you tried, so that we know how to help you.

Is there any part of this question you don't understand?

ok, i got that time t=5 , by using dividing 50/10. Also, i got that the car accelerates at 12.5 m/s to cover 100m from at 50m/s to 0 m/s velocity. But i do not know what to do next? How can i get that the car covered a distance of 60 m during that time?

tiny-tim
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<< berkeman has deleted the content of the e-mail that was quoted here. The issue has been dealt with. Thanks, tiny-tim. >>
erm … no!

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so is my work correct? what should i do?