The formula for distance is based on various contexts, but the most common formula is derived from the relationship between speed, time, and distance:

1. Distance in Uniform Motion:

$\text{Distance} = \text{Speed} \times \text{Time}$ Where:

• Distance is how far an object moves (usually in meters or kilometers).
• Speed (or velocity) is the rate at which the object moves (usually in meters per second or kilometers per hour).
• Time is the duration of the object's motion (in seconds, minutes, or hours).

2. Distance Formula (between two points in a plane):

If you are looking for the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a 2D plane: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Where $d$ is the distance between the two points.

3. Distance Formula in 3D Space:

For points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ in 3D: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$

Do you want more details on these formulas or have any specific questions?

Related Questions:

1. How does time affect the distance traveled if speed is constant?
2. What is the distance formula in non-Euclidean geometry?
3. How do you calculate distance using the Pythagorean Theorem?
4. Can distance be negative in any scenario?
5. What happens to distance when speed varies over time?

Tip:

In word problems, always make sure the units of speed and time are compatible before calculating the distance!