Subjects physics

Speed Conversion D42987

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

Search Solutions

Speed Conversion D42987


1. The problem is to convert a speed given as 62 feet per 1 second into other units or understand its meaning. 2. Speed is defined as distance divided by time, so the formula is: $$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$ 3. Here, the speed is: $$\frac{62 \text{ feet}}{1 \text{ second}} = 62 \text{ feet per second}$$ 4. This means an object moves 62 feet every second. 5. If you want to convert this speed to other units, for example miles per hour (mph), use the conversion factors: - 1 mile = 5280 feet - 1 hour = 3600 seconds 6. Convert 62 feet per second to miles per hour: $$62 \frac{\text{feet}}{\text{second}} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 62 \times \frac{3600}{5280} \frac{\text{miles}}{\text{hour}}$$ 7. Simplify the fraction: $$\frac{3600}{5280} = \frac{15}{22}$$ 8. Calculate the speed in mph: $$62 \times \frac{15}{22} = \frac{62 \times 15}{22} = \frac{930}{22} \approx 42.27 \text{ mph}$$ 9. Therefore, 62 feet per second is approximately 42.27 miles per hour. This completes the conversion and understanding of the speed given.