Final answer:
Two objects with constant acceleration may have the same velocity at a certain time, but this is not guaranteed to occur at a specific moment like the initial, half, or final time without more information. It depends on their initial velocities and accelerations.
Step-by-step explanation:
To determine at what time two objects with constant acceleration have the same velocity, it is necessary to know their initial velocities and accelerations. Generally, if two objects start at different velocities or accelerations, they may have the same velocity at a specific time, but it won’t be at a predictable moment such as the initial time, half of the total time, or the final time without additional information. Answer choice d) It depends on the specific acceleration value, is correct because having the same velocity would depend on the relationship between their initial velocities and their accelerations over time.
In cases where one or both objects start from rest or they start at the same initial velocity and have the same acceleration, they would have the same velocity at the initial time. If one object has a positive acceleration while another has a negative acceleration, they might cross paths at a certain velocity at some point. But you would need to use kinematic equations to determine the exact time when their velocities match.