The position-time graph of an object is a straight line parallel to time axis. This implies that the object is

Options

A. Moving with uniform acceleration
B. Moving with uniform velocity
C. Moving with non-uniform velocity
D. Stationary

Answer

To solve the question, we need to analyze the information given about the position-time graph of an object. Here’s the step-by-step solution:

### Step 1: Understand the Position-Time Graph
The position-time graph shows how the position of an object changes over time. The x-axis represents time, while the y-axis represents position.

**Hint:** Remember that the slope of a position-time graph indicates the velocity of the object.

### Step 2: Identify the Characteristics of the Graph
The problem states that the position-time graph is a straight line parallel to the time axis. This means that the y-coordinate (position) does not change as time progresses.

**Hint:** A straight line parallel to the time axis indicates that there is no change in position over time.

### Step 3: Analyze the Slope of the Graph
The slope of a position-time graph is calculated as the change in position (Δy) divided by the change in time (Δx). If the line is parallel to the time axis, the change in position (Δy) is zero.

**Hint:** Recall that a slope of zero indicates that the velocity is zero.

### Step 4: Determine the Implication of Zero Velocity
Since the slope is zero, this means that the velocity of the object is zero. If the velocity is zero, the object is not moving at all.

**Hint:** Think about what it means for an object to have zero velocity in terms of its motion.

### Step 5: Conclude the Motion of the Object
Given that the object has zero velocity, we can conclude that the object is stationary.

**Hint:** Review the definitions of the options provided to confirm that "stationary" is the correct interpretation of zero velocity.

### Final Answer
The object is stationary. Therefore, the correct option is **D: stationary**.

---