Final answer:
This question involves physics concepts related to kinematics and work-energy. Without the specific function for the force acting on the object, or additional details, we cannot calculate the exact speed at different positions. In general, to find the speed, we integrate the force function over the displacement to find the work done and use the change in kinetic energy to determine the speed.
Step-by-step explanation:
The question you're asking seems to involve understanding the principles of kinematics and work-energy within the arena of physics. However, without the specific force function or additional context, it's not possible to provide a precise answer to your question. In general, if we know the force acting on an object as a function of position, F(x), and the mass of the object, we can use the work-energy principle to find the speed at different positions.
For instance, if we were given that F(x) is a constant force or a function of x, we would calculate the work done by the force as the object moves from one position to another. The work done on the object would equal its change in kinetic energy, which we could use to solve for the object's speed at the new position, using the formula:
Work = Change in kinetic energy = 0.5 × m × (v² - v₀²)
Where m is the mass, v is the final speed, and v₀ is the initial speed. However, since the force in this case is dependent on x, we would need to integrate the force over the distance to find the work done:
Work = ∫ F(x) dx
Once we find the work, we can then calculate the final speed at any given position. But as stated, we don't have enough information in this particular instance to provide a numerical answer.