Final answer:
For each successive second, an object moving freely from rest maintains the same displacement.
Step-by-step explanation:
The question is asking to show that for each successive second, an object moving freely from rest undergoes a change in its displacement. This can be demonstrated using the equations of motion from classical mechanics.
Let's assume that the object starts from rest at t = 0 s and accelerates uniformly for 2 seconds until t = 2 s. During this time, the object covers a displacement of 64 m in the positive direction. After reaching this displacement, the object continues to move at a constant velocity for the next 2 seconds.
Therefore, for each successive second:
- At t = 2 s, the object has a displacement of 64 m.
- At t = 3 s, the object has the same displacement of 64 m because it continues to move at a constant velocity.
- At t = 4 s, the object has the same displacement of 64 m because it still maintains the same constant velocity.
So, for each successive second after t = 2 s, the object maintains the displacement of 64 m.