Convert $5.20 \, \text{m/s}^2$ to $\text{ft/min}^2$.

1. Problem Description

Convert $5.20 \, \text{m/s}^2$ to $\text{ft/min}^2$.

2. Solution Steps

First, we need to convert meters to feet. We know that 1 meter is equal to approximately 3.28084 feet.

$$1 \, \text{m} = 3.28084 \, \text{ft}$$

Next, we need to convert seconds to minutes. We know that 1 minute is equal to 60 seconds. Therefore, 1 second is equal to $\frac{1}{60}$ minutes.

$$1 \, \text{s} = \frac{1}{60} \, \text{min}$$

Now we can convert $5.20 \, \text{m/s}^2$ to $\text{ft/min}^2$.

$$5.20 \frac{\text{m}}{\text{s}^2} = 5.20 \frac{\text{m}}{\text{s}^2} \times \frac{3.28084 \, \text{ft}}{1 \, \text{m}} \times \left(\frac{60 \, \text{s}}{1 \, \text{min}}\right)^2$$

$$5.20 \frac{\text{m}}{\text{s}^2} = 5.20 \frac{\text{m}}{\text{s}^2} \times \frac{3.28084 \, \text{ft}}{1 \, \text{m}} \times \frac{3600 \, \text{s}^2}{1 \, \text{min}^2}$$

$$5.20 \frac{\text{m}}{\text{s}^2} = 5.20 \times 3.28084 \times 3600 \frac{\text{ft}}{\text{min}^2}$$

$$5.20 \frac{\text{m}}{\text{s}^2} = 61418.4576 \frac{\text{ft}}{\text{min}^2}$$

$$5.20 \frac{\text{m}}{\text{s}^2} \approx 61418.46 \frac{\text{ft}}{\text{min}^2}$$

3. Final Answer

$61418.46 \, \text{ft/min}^2$