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A particle starts moving from rest the o...

A particle starts moving from rest the origin `&` moves along positive `x-` direction . Its rate of change of kinetic energy with time shown on `y-` axis veries with time `t` as shown in the graph. If position, velocity , acceleration `&` kinetic energy of the particle at any time `t` are `x,v,a,& k` respectively then which of the option `(s)` may be correct ?

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