A particle initially at rest is subjected to a constant force F for a certain time interval. During this time, its kinetic energy increases by a factor of 8. Which of the following statements regarding the work done by the force F and the distance traveled by the particle is correct?
A) The work done by the force F is proportional to the square of the distance traveled by the particle.
B) The work done by the force F is equal to the product of the force and the distance traveled by the particle.
C) The work done by the force F is equal to the change in kinetic energy of the particle.
D) The distance traveled by the particle is proportional to the cube root of the work done by the force F.
E) The work done by the force F is equal to the square of the change in kinetic energy of the particle.