The relationship between an object’s speed of travel, distance traveled, and time traveled is given by the following equation:

$$s = frac{d}{t}$$

Given two of the three parameters, the calculator will determine the third value using the relationships shown in Figure 1. This can be useful when modeling physical systems such as a moving vehicle, an autonomous mobile robot (AMR), or even electron propagation through a wire.

**Figure 1.** Conversion between speed, time, and distance.

**Figure 1.**Conversion between speed, time, and distance.

### Speed Distance Time Equation:

As noted above, to convert between values of time, speed, and distance, we use the following standard equation:

$$s = frac{d}{t}$$

Where:

- s = The speed of the object expressed in units of distance over time
- d = The distance an object has traveled in a given period of time
- t = The time during which the object traveled a given distance

From here, we can rearrange the equation to solve for time:

$$t = frac{d}{s}$$

Or we can solve for distance using the following equation:

$$d = s cdot t$$

### Further Reading

Worksheet—Calculus for Electric Circuits

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