1.

The acceleration of particle at position x is given by a=3-2x. If the particle is rest at x=0, at what value of x is it at rest again ?

Answer» Correct Answer - 3
`a=3-2x`
`(vdv)/(dx)=3-2x`
`(v^(2))/2=3-2x`
`(v^(2))/2 =3-2x`
`rArr v^(2)=3x-x^(2)+C`
`rArr v^(2)=3x-x^(2)=x(3-x)`
v=0 at x=0, x=3


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