Final answer:
The answer is (c) Both the velocity and the kinetic energy of the particle are changing when a net external force is applied to it. This is due to Newton's second law and the formula for kinetic energy.
Step-by-step explanation:
Assuming no other forces are present, the correct statement is (c) Both the velocity and the kinetic energy of the particle are changing. When a net external force is applied to a particle, according to Newton's second law of motion, it will cause an acceleration (change in velocity). As the velocity changes, the kinetic energy (which is 1/2 * mass * velocity^2) of that particle also changes. Thus, when a non-zero net external force acts on a particle, both its velocity and kinetic energy are changing.
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