What is the relation between Velocity, displacement and time?

Explanation

To find the relation between velocity, displacement, and time, we can follow these steps:

### Step 1: Understand the Definitions
- **Displacement (x)**: This is the change in position of an object. It is a vector quantity that has both magnitude and direction.
- **Velocity (v)**: This is the rate of change of displacement with respect to time. It is also a vector quantity.
- **Time (t)**: This is a scalar quantity that measures the duration of an event.

### Step 2: Write the Formula for Velocity
The relationship between velocity, displacement, and time can be expressed mathematically. The formula for velocity is given by:
\[ v = \frac{dx}{dt} \]
where:
- \( v \) is the velocity,
- \( dx \) is the change in displacement,
- \( dt \) is the change in time.

### Step 3: Interpret the Formula
From the formula \( v = \frac{dx}{dt} \):
- This means that velocity is the derivative of displacement with respect to time.
- In graphical terms, if you plot displacement (x) on the y-axis and time (t) on the x-axis, the slope of the tangent line to the curve at any point gives you the velocity at that point in time.

### Step 4: Conclusion
Thus, the relation between velocity, displacement, and time can be summarized as:
- Velocity is the rate of change of displacement with respect to time.

### Summary
The relationship can be succinctly stated as:
- \( v = \frac{dx}{dt} \)