Subjects physics

Speed Conversion Ea8340

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Question: If a baseball is going $90$ nmils per hour how long is that in meters and seconds
1. **State the problem:** Convert a speed of $90$ nmils per hour to meters per second. 2. **Understand the units:** - $1$ nautical mile (nmil) = $1852$ meters. - $1$ hour = $3600$ seconds. 3. **Formula for conversion:** $$\text{speed in m/s} = \text{speed in nmil/hr} \times \frac{1852 \text{ meters}}{1 \text{ nmil}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}$$ 4. **Apply the values:** $$90 \times \frac{1852}{3600}$$ 5. **Calculate intermediate step:** $$90 \times \frac{1852}{3600} = 90 \times \frac{\cancel{1852}}{\cancel{3600}}$$ 6. **Simplify fraction:** Calculate $\frac{1852}{3600} \approx 0.5144$ 7. **Final calculation:** $$90 \times 0.5144 = 46.296$$ 8. **Answer:** The speed is approximately $46.3$ meters per second.