Final answer:
The force required to accelerate the object is 128.25 N.
Step-by-step explanation:
To calculate the force required to accelerate an object, we can use Newton's second law of motion which states that F = m * a, where F is the force, m is the mass of the object, and a is the acceleration.
Substituting the given values: m = 13.5 kg and a = 9.5 m/s², we can calculate the force as F = 13.5 kg * 9.5 m/s² = 128.25 N.
Therefore, the force required to accelerate the object to a rate of 9.5 m/s² is 128.25 N (option C).
Learn more about Force and acceleration in Newton's second law of motion