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Referring a-s diagram in the figure , fi...

Referring `a-s` diagram in the figure , find the velocity after particle travel `250 m` from starting. Assume `v_(0)=0`.
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`a=-(s)/(20)+200`
`underset(0)overset(v)(int)v dv =underset(0)overset(250)(int)(-(s)/(20)+20)ds rArr (v^(2))/(2)=[-(s^(2)/(40)+20)s]_(0)^(250)`
`(v^(2))/(2)=-((250)^(2))/(40)+20 xx250`
`rArr v^(2)= 6875 rArr v=25 sqrt11 ms^(-1)`.
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