Physical quantity which we can't obtain from a distance-time graph is

Options

A. Speed
B. Time taken
C. Change in position
D. Change in weight

Answer

To solve the question regarding which physical quantity cannot be obtained from a distance-time graph, we will analyze the graph and the quantities that can be derived from it.

### Step-by-Step Solution:

1. **Understand the Distance-Time Graph**:
- A distance-time graph plots distance (y-axis) against time (x-axis). The slope of the graph represents speed.

2. **Identify Quantities Derived from the Graph**:
- **Speed**: The slope of the distance-time graph gives us the speed of the object. Therefore, speed can be obtained from this graph.
- **Time Taken**: The x-axis represents time, so we can directly read the time taken from the graph.
- **Change in Position**: The difference in distance at two points on the graph gives us the change in position. This can also be derived from the graph.

3. **Consider the Physical Quantity in Question**:
- **Change in Weight**: Weight is a measure of the force acting on an object due to gravity and is not related to distance or time. It does not appear on a distance-time graph.

4. **Conclusion**:
- The physical quantity that cannot be obtained from a distance-time graph is **change in weight**.

### Final Answer:
The physical quantity which we can't obtain from a distance-time graph is **change in weight**.

---