1. **State the problem:** Convert an acceleration of 5.70 meters per second squared to miles per minute squared.
2. **Formula and conversion factors:**
- 1 mile = 1609 meters
- 1 second = \frac{1}{60} minute
3. **Convert meters to miles:**
$$5.70 \frac{m}{s^2} \times \frac{1 \text{ mile}}{1609 \text{ m}} = \frac{5.70}{1609} \frac{\text{mile}}{s^2}$$
4. **Convert seconds squared to minutes squared:**
Since 1 second = \frac{1}{60} minute, then
$$1 s^2 = \left(\frac{1}{60} \text{ min}\right)^2 = \frac{1}{3600} \text{ min}^2$$
So,
$$\frac{\text{mile}}{s^2} = \frac{\text{mile}}{\frac{1}{3600} \text{ min}^2} = 3600 \frac{\text{mile}}{\text{min}^2}$$
5. **Combine the conversions:**
$$5.70 \frac{m}{s^2} = \frac{5.70}{1609} \times 3600 \frac{\text{mile}}{\text{min}^2}$$
6. **Calculate the value:**
$$\frac{5.70}{1609} \approx 0.003542$$
$$0.003542 \times 3600 = 12.75$$
7. **Round to the nearest tenth:**
$$12.75 \approx 12.8$$
**Final answer:** The acceleration is approximately **12.8 miles per minute squared**.
Acceleration Conversion 4D6Cea
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