If a particle moves `5m` in +x- direction. Show the displacement of the particle-

Options

A. `5hat(j)" "`
B. `5hat(i)" "`
C. `-5hat(j)" "`
D. `5hat(k)`

Explanation

To show the displacement of a particle that moves 5 meters in the positive x-direction, we can follow these steps:

### Step 1: Understand the Motion
The particle moves a distance of 5 meters in the positive x-direction. In physics, displacement is a vector quantity that refers to the change in position of an object.

### Step 2: Identify the Magnitude of Displacement
The magnitude of the displacement is simply the distance moved in the specified direction. Here, the particle moves 5 meters.

**Magnitude of Displacement = 5 meters**

### Step 3: Determine the Direction of Displacement
Since the particle moves in the positive x-direction, we need to represent this direction using a unit vector. The unit vector in the positive x-direction is denoted as **i cap** (or **i**).

### Step 4: Write the Displacement Vector
The displacement vector can be expressed as the product of the magnitude of displacement and the unit vector in the direction of motion. Therefore, the displacement vector **D** can be written as:

\[ \text{Displacement (D)} = \text{Magnitude} \times \text{Direction} \]

Substituting the values we have:

\[ D = 5 \, \text{m} \, \hat{i} \]

### Final Answer
Thus, the displacement of the particle is:

\[ \text{Displacement} = 5 \hat{i} \, \text{meters} \]

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