The distance-time graph of a car which comes to a stop after covering a certain distance will be :

Options

A. a straight line sloping upwards
B. a curved line sloping downwards
C. a straight line parallel to time axis
D. a straight line parallel to distance axis

Answer

To determine the distance-time graph of a car that comes to a stop after covering a certain distance, we can follow these steps:

### Step 1: Understand the Motion of the Car
The car moves for a certain period and covers a distance. After reaching a specific distance, the car comes to a stop. This means that for a period of time, the car is in motion, and then it is stationary.

**Hint:** Think about what happens to the distance when the car is moving versus when it is stopped.

### Step 2: Identify the Distance Covered
Let’s assume the car covers a distance \( d_1 \) at a time \( t_1 \). After this point, it stops moving.

**Hint:** Consider how the distance changes as time progresses when the car is in motion.

### Step 3: Analyze the Graph
While the car is moving, the distance increases with time, which can be represented by a straight line sloping upwards. However, once the car stops, it no longer covers any additional distance.

**Hint:** Visualize how the graph would look when the car is moving versus when it is stopped.

### Step 4: Determine the Shape of the Graph After Stopping
After the car stops, the distance remains constant. This means that as time continues to increase, the distance does not change. Therefore, the graph will show a horizontal line after the car has stopped.

**Hint:** What does a horizontal line in a graph represent in terms of motion?

### Step 5: Conclusion
Since the distance remains the same after the car stops, the distance-time graph will be a straight line parallel to the time axis after the car has reached its stopping point.

**Final Answer:** The correct option is a straight line parallel to the time axis (Option 3).

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