The position of an particle is given by `x=6t+2t^(3)`. Find out whether is motion is uniform or non - uniform.

Explanation

The position of an particle `x=6t+2t^(3)`
By differentiating with respect to 't'
`(dx)/(dt)=(d)/(dt)(6t+2t^(3)), (dx)/(dt)=6+6t^(2)`
`because" velocity v"=(dx)/(dt)=6+6t^(2)" "[because x^(n)=nx^(n-1)]`
`N=6+6t^(2)`
As velocity is time independent, it means that motion is uniform.