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If velocity is given by following functi...

If velocity is given by following function V = `x^2` . Then find out relation between x & t (assume x = 1 m at t = 0)

Text Solution

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Relation between v & x is
`v=x^2`
We know that `v=(dx)/(dt)implies(dx)/(dt)=x^2`
`(dx)/(x^2)=dtimpliesint_1^x(dx)/(x^2)=int_0^1dt`
`implies[-(1)/(x)]_1^x=timplies-1/x+1=t`
`impliesx=1/(1-t)`
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