Solve Car Impulse Physics Problem 1: Acceleration, Distance & Speed

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madahmad1
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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 traveled when the car`s acceleration is -10m/s^2 /. Answer is 60m , but how can i do the steps?
 
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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?
 
madahmad1 said:
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erm … no! :frown:
 
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so is my work correct? what should i do?
 
any ideas? any hints? i cannot figure out how the answer comes out to be 60 m