In the equation of motion, `S=ut+1/2 at^(2), s stands for

Options

A. distance in t seconds
B. maximum height reached
C. distance in the `t^(th)` second
D. none of these

Answer

To solve the question regarding the equation of motion \( S = ut + \frac{1}{2} at^2 \), we need to identify what \( S \) stands for in this context.

### Step-by-Step Solution:

1. **Understanding the Equation**: The equation \( S = ut + \frac{1}{2} at^2 \) is one of the equations of motion used in physics to describe the motion of an object under uniform acceleration.

2. **Identifying the Variables**:
- \( S \): This represents the **displacement** of the object. Displacement is the distance moved in a specific direction from the initial position.
- \( u \): This is the initial velocity of the object.
- \( a \): This is the acceleration of the object.
- \( t \): This is the time for which the object has been moving.

3. **Conclusion**: In the equation \( S = ut + \frac{1}{2} at^2 \), \( S \) stands for **displacement**.

### Final Answer:
In the equation of motion \( S = ut + \frac{1}{2} at^2 \), \( S \) stands for **displacement**.