Subjects physics

Walking Speed 7E9Af2

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1. **State the problem:** We need to find the walking speed $s$ of an individual using the formula $$s = \frac{0.78 \cdot l^{1.67}}{h^{1.17}}$$ where $l$ is stride length and $h$ is hip height. 2. **Given values:** - Stride length $l = 1.25$ meters - Hip height $h = 0.93$ meters 3. **Substitute the values into the formula:** $$s = \frac{0.78 \cdot 1.25^{1.67}}{0.93^{1.17}}$$ 4. **Calculate the powers:** Calculate $1.25^{1.67}$ and $0.93^{1.17}$ using a calculator. 5. **Intermediate calculation:** $$1.25^{1.67} \approx 1.25^{1.67} = 1.25^{1 + 0.67} = 1.25 \times 1.25^{0.67} \approx 1.25 \times 1.169 = 1.461$$ $$0.93^{1.17} \approx 0.93^{1 + 0.17} = 0.93 \times 0.93^{0.17} \approx 0.93 \times 0.973 = 0.905$$ 6. **Plug these back in:** $$s = \frac{0.78 \times 1.461}{0.905}$$ 7. **Multiply numerator:** $$0.78 \times 1.461 = 1.140$$ 8. **Divide numerator by denominator:** $$s = \frac{1.140}{0.905}$$ 9. **Cancel common factors (showing cancellation):** $$s = \frac{\cancel{1.140}}{\cancel{0.905}} \approx 1.26$$ 10. **Final answer:** The walking speed $s$ is approximately **1.26 meters per second**.