Which of the following distance time graphs is possible ?

Options

A.
B.
C.
D.

Answer

To determine which of the given distance-time graphs is possible, we need to analyze each graph based on the properties of distance. Here’s a step-by-step solution:

### Step 1: Understand the properties of distance
Distance is a scalar quantity, which means it can only be zero or positive. It cannot be negative or decrease over time.

### Step 2: Analyze the first graph
In the first graph, the distance is increasing over time. Since the distance is always positive or zero, this graph is possible.

### Step 3: Analyze the second graph
In the second graph, the distance increases initially, but then it decreases. Since distance cannot decrease, this graph is not possible.

### Step 4: Analyze the third graph
In the third graph, the distance also decreases at some point. Therefore, this graph is also not possible.

### Step 5: Analyze the fourth graph
In the fourth graph, similar to the second and third graphs, the distance decreases over time. Thus, this graph is not possible as well.

### Conclusion
Based on the analysis, the only possible distance-time graph is the first one.

### Final Answer
The first graph is the only possible distance-time graph.

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