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It will be a parabola.

let speed = x

kinetic energy = y = 1/2 m x²

the shape of this curve is a parabola, as it is in the form:  x² = 4 a y
   The curve is always above x axis. The axis of the parabola is x = 0  or the y axis.

 the directrix of parabola is  at  y = - 1/(2m)

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