Referring to `a-s` diagram as shown in , findthe velocity of the particle when the particle when the spaarticle justcovers `20 m`, `(v_(0)=sqrt50 ms^(-1)`.
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Answer

`sqrt(350) m s^(-1)`

Explanation

`a =- (s)/(4) +10 rArr underset(v_(0)) overset(v) (int) (dv)/(ds) =-(s)/(4) +10`
` rArr underset(v_(0))overset(v)(int) v dv =underset(0)overset(20) (int) (-(s)/((ds)+10)ds`
`rArr (v^(2)-v_(0)^(2))/(2) =[-s^(2)/(8) +10s]_(0)^(20)`
` rArr (v^(2) -50)/(2) =[-(s^(2))/(8)+10s]_(0)^(20)`.