Graph 2 shows the relationship between kinetic energy and speed because the kinetic energy is directly proportional to square of speed of the particle.
What is kinetic energy?
The ability of an object to do work by virtue of its motion.
The kinetic energy is represented mathematically as
K.E = 1/2 mv²
where v is the velocity with which the object is moving and m is its mass.
As, the kinetic energy is directly proportional to square of speed of the particle, they have quadratic relationship and follows a parabolic curve.
Thus, kinetic energy is directly proportional to square of speed of the particle justifies graph 2 as correct relationship.
Learn more about kinetic energy.
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