Final answer:
The acceleration of the rocket is calculated using Newton's second law (F = ma), but the thrust value provided leads to a result much smaller than the options listed, indicating there may be a typo in the thrust value of the question.
Step-by-step explanation:
The question is asking to calculate the acceleration of a rocket at lift-off given the thrust and the mass of the rocket. To find the acceleration, we'll use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). The thrust provided by the engine represents the force, and the mass of the rocket is given.
To solve for the acceleration (a), we'll rearrange the formula to a = F / m, where F is the thrust (1.59 N) and m is the mass (9.280 x 106 kg). The acceleration at lift-off then is a = 1.59 N / (9.280 x 106 kg), which yields an answer much smaller than any of the multiple choice options provided. It's possible that there might be a typo in the question regarding the thrust value.
If the thrust had been correctly given as, for example, 1.59 x 107 N, then the correct calculation would be a = (1.59 x 107 N) / (9.280 x 106 kg), resulting in an acceleration greater than 1 m/s2. However, with the values provided, the resulting value does not match any of the options a) through d).