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Potential energy is the energy that an item has as a result of its location in relation to other objects, internal tensions, electric charge, or other factors.

The particle has the maximum speed when the potential energy is the lowest due to conservation of energy. Since energy is conserved, the kinetic energy will be the highest when the potential energy is the lowest.

The expression for kinetic energy is,

Kinetic Energy$=\frac{1}{2}m{v}^2$

Here $m$is the object's mass in $\mathrm{kg}$and $v$is the object's velocity in $\mathrm{m}/\mathrm{s}$.

The curved line indicates the potential energy of the object. When the potential is minimized, then the kinetic energy is maximized.

In the given diagram the potential energy is minimized at the position $6\mathrm{m}$.

Therefore, the maximum speed of the object is at the position $6\mathrm{m}$.

At $x=2\mathrm{m}$and $x=8\mathrm{m}$the energy curve exceeds the total energy of the particle.

Thus, extra energy from outside the system would be needed to travel beyond those points; otherwise, the particle would turn around.

The particle will continue to go back and forth indefinitely in its current shape.

If, on the other hand, the energy graph is changed so that the particle starts at a minimum, such as at, $x=3\mathrm{m}$or $x=6\mathrm{m}$, then there would be no opportunity to gain kinetic energy, and the particle would remain motionless.