Here is the formula to convert miles per hours to meters per seconds:

$$\text{Speed in m/s} = \text{Speed in mph} \times \frac{1609.34}{3600}$$

To convert miles per hour (mph) to meters per second (m/s), you can use the following conversion factors:

1 mile = 1609.34 meters (formally defined by international agreement in 1959)
1 hour = 3600 seconds ( $\text{1 hour} = 60 \, \text{minutes} \times 60 \, \text{seconds per minute}$ )

Using these conversion factors, you can create a conversion formula. Here's the step-by-step process:

1. Start with the value in mph.
2. Convert miles to meters by multiplying by 1609.34.
3. Convert hours to seconds by dividing by 3600.

The formula to convert mph to m/s is therefore:

$$\text{Speed in m/s} = \text{Speed in mph} \times \frac{1609.34}{3600}$$

Simplifying the fraction:

$$\text{Speed in m/s} \approx \text{Speed in mph} \times 0.44704$$

So to convert a speed from mph to m/s, multiply the speed value by 0.44704.

Example:

Convert 60 mph to m/s:

$$60 \, \text{mph} \times 0.44704 = 26.8224 \, \text{m/s}$$

So, 60 mph is approximately 26.82 m/s.