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For an object moving freely from rest, show that for each successive second?

User Hwjp
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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:

  1. At t = 2 s, the object has a displacement of 64 m.
  2. At t = 3 s, the object has the same displacement of 64 m because it continues to move at a constant velocity.
  3. 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.

User Modem Rakesh Goud
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