Referring to `a-x` graph, find the velocity when thedisplacement of the particle is `100 m`. Assume intial velocity as zero.
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Explanation

We can find relation between `a` and `x` as:
Using `(y-y_(1)=(y_(2)-y(1)/(x_(2)-x)(1)(x-x_(1)`
`(a-3)=(6-3)/(250-50)(x-50) rArr a=(3)/(100)x+(3)/(2)`
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But `v=sqrtv_(0)^(2)+2(A)`
As `v_(0)=0 rArr v^(2)=2 int adx`
`rArr a=(3)/(100)x(3)/(2)`
`rArr v^(2)=2` [Area of (a-x) graph upto `x=100 m`]
`=2 [(1)/(2)((3)/(2)+(9)/(2))100]=600 rArr v=10sqrt6 n s^(-1)`.