The x-t graph shown in figure represents

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Accepted Answer

1. **Slope represents Velocity:** In a position-time ($x-t$) graph, the slope of the curve at any point represents the instantaneous velocity of the body ($v = \frac{dx}{dt}$) .
2. **Graph Analysis:** 
   - **Constant Slope:** A straight line inclined to the time axis indicates a constant slope, meaning the body is moving with a **constant velocity** (or speed).
   - **Zero Slope:** A line parallel to the time axis (horizontal) has a slope of zero, indicating that the position is not changing. This means the velocity is zero and the body has **stopped**.
3. **Conclusion:** The description in the correct option implies a graph consisting of a straight inclined line from $t=0$ to $t=t_1$ (constant speed) followed by a horizontal line (rest). This matches the physical interpretation of the option.

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