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the answer is case 1and 2 but please give me a sentence explanation on why 

In cases I and II, the objects experience a constant velocity (linear and horizontal position functions, respectively). When an object moves with constant velocity, its acceleration is zero, meaning there is no net force acting on it (Newton's first law). Hence, the sum of the forces is zero in both cases I and II.

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### Related Questions:
1. How is constant velocity represented on a position vs. time graph?
2. Why does zero acceleration imply zero net force?
3. What would a graph look like if there was a constant force acting on an object?
4. In which case is the object accelerating, and why?
5. How does Newton’s first law relate to the net force on an object?

**Tip:** For constant velocity, look for a straight-line slope (linear) or a flat line in position-time graphs.

The answer is case 1 and 2, but please give me a sentence explanation on why.

Explore why the sum of forces on an object is zero in cases with constant velocity. Learn about position-time graphs, Newton's First Law, and understand the physics behind motion in straight lines. Suitable for students in Grades 9-12.

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