Final answer:
The new acceleration of the object will be 24 m/s².
Step-by-step explanation:
Acceleration is the rate at which an object's velocity changes. It is calculated by dividing the change in velocity by the change in time:
Acceleration = (Final Velocity - Initial Velocity) / Time
In this case, the object is accelerating at a rate of 8 m/s² before the changes. After the net force exerted on it is increased by a factor of 3 and its mass is decreased by a factor of 4, the new acceleration can be calculated using the formula:
New Acceleration = (New Net Force / New Mass)
Substituting the values into the equation gives:
New Acceleration = (3 * 8 m/s²) / (1/4)
New Acceleration = 24 m/s²