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May be I am doing something wrong...

I was thinking about a unit acceleration of 1ms

^{-2},let an object be accelerating 1ms

^{-2}and at rest the object's velocity was 0ms

^{-1}and after 5 seconds its velocity was 5ms

^{-1},so it will cover a distance of 15 meters after 5 seconds ,am I right ?

If I am right ,then I don't understand the relation given "The total distance traveled is directly proportional to the square of the time",it suppose to give me the distance (15m) if I would squared the time and multiply the total distance covered after 1 second.

I got this relation from this site

http://www.physicsclassroom.com/Class/1DKin/U1L1e.cfm

I think I am doing something wrong...

Thanks