No, it is not possible to find the final velocity of an object without knowing its initial velocity or acceleration. The final velocity of an object is determined by its initial velocity, acceleration, and the time interval over which these changes occur.
The relationship between initial velocity (v₀), final velocity (v), acceleration (a), and time (t) is given by the following equation:
v = v₀ + at
This equation is derived from the equations of motion under constant acceleration. As you can see, both the initial velocity (v₀) and the acceleration (a) are crucial in determining the final velocity (v). Without knowing at least one of these values, it is not possible to calculate the final velocity accurately.
Additionally, if only the position of an object over time is known, it is not sufficient to determine the final velocity without further information. The position-time data alone does not provide details about the initial velocity or acceleration of the object.
To calculate the final velocity accurately, information about the initial velocity or acceleration is necessary, either directly or indirectly through additional measurements or assumptions.