Acceleration Conversion
1. **State the problem:** We need to convert an acceleration of 4.80 meters per second squared ($\frac{m}{s^2}$) into miles per minute squared ($\frac{miles}{min^2}$).
2. **Given:**
- Acceleration: $4.80 \frac{m}{s^2}$
- Conversion factor: $1$ mile $= 1609$ meters
- We want to convert seconds squared to minutes squared.
3. **Convert meters to miles:**
$$4.80 \frac{m}{s^2} \times \frac{1 \text{ mile}}{1609 \text{ m}} = \frac{4.80}{1609} \frac{miles}{s^2} \approx 0.002983 \frac{miles}{s^2}$$
4. **Convert seconds squared to minutes squared:**
Since $1$ minute $= 60$ seconds, then
$$1 s^2 = \left(\frac{1}{60} min\right)^2 = \frac{1}{3600} min^2$$
To convert $\frac{miles}{s^2}$ to $\frac{miles}{min^2}$, multiply by $3600$:
$$0.002983 \frac{miles}{s^2} \times 3600 = 10.739 \frac{miles}{min^2}$$
5. **Round to the nearest tenth:**
$$10.7 \frac{miles}{min^2}$$
**Final answer:** The acceleration is approximately $10.7$ miles per minute squared.