Final Answer:
The new speed of the object, when the initial speed is 2.58 times that calculated in part (a), will be 2.58 times the speed obtained in part (a).
Step-by-step explanation:
In part (a), the initial speed was determined based on the given conditions. Now, to find the new speed when the initial speed is 2.58 times that calculated in part (a), we can multiply the speed obtained in part (a) by the given factor of 2.58. This multiplication yields the new speed of the object when it reaches position x.
Once the speed is multiplied by the factor, the resultant speed reflects a proportional increase in velocity compared to the initial speed calculated in part (a). This relationship demonstrates that the final speed is directly proportional to the factor by which the initial speed is multiplied.
Regarding the position x of the object, the relationship between speed and position can be analyzed using kinematic equations. Depending on the specific details provided in the problem regarding the object's motion and the initial conditions, one could apply relevant equations of motion, such as the equations of uniformly accelerated motion, to determine the position x at the given speed.
This scenario showcases the direct relationship between speed and position in the context of an object's motion, where changes in speed directly impact the object's displacement or position along its trajectory.