Subjects physics

Acceleration Conversion 4D6Cea

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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**.