We are given that an object has an acceleration of 6 m/s^2. According to Newton's second law we have that the force is the product of the mass by the acceleration:
Where:
We can solve for the acceleration by dividing both sides by the mass:
Since the original acceleration is 6 m/s^2 we have:
Now, for the new acceleration, we are given that the new force is 3 times the original force and the mass is double the original mass, therefore, we can substitute:
But, we already established that:
Therefore:
Therefore, solving the operations, the new acceleration is:
Therefore, the acceleration is 9 meters per second squared.