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**.
Walking Speed 7E9Af2
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