Final answer:
The object is speeding up during the initial and final segments.
Step-by-step explanation:
In order to determine when the object is speeding up, we need to analyze the given information. The object is said to be speeding up when its velocity is increasing. From the information provided, we can see that the object is speeding up between points A and D, and also between points E and H. Therefore, the correct answer is D. Initial and final segments.