1. **State the problem:** We want to find the speed of sound waves in air in meters per second when the air temperature is 305 Kelvin. 2. **Given formulas:** - Speed in knots: $$v(K) = 643.855 \sqrt{\frac{K}{273.15}}$$ - Speed in meters per second: $$s(K) = \frac{v(K)}{1.944}$$ 3. **Calculate $v(305)$:** $$v(305) = 643.855 \sqrt{\frac{305}{273.15}}$$ Calculate the fraction inside the square root: $$\frac{305}{273.15} \approx 1.1167$$ Then the square root: $$\sqrt{1.1167} \approx 1.0563$$ Multiply by 643.855: $$v(305) \approx 643.855 \times 1.0563 = 679.9 \text{ knots}$$ 4. **Convert to meters per second:** $$s(305) = \frac{679.9}{1.944} \approx 349.6 \text{ m/s}$$ **Final answer:** The speed of sound waves at 305 Kelvin is approximately **349.6 meters per second**.