Subjects physics

Acceleration Conversion

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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.