Subjects physics

Speed Comparison 698D20

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1. **State the problem:** Which is faster, a car travelling at 55 km/h or a leopard running at 15 m/s? 2. **Convert units to the same system:** - The car's speed is given in km/h. - The leopard's speed is given in m/s. We will convert the car's speed from km/h to m/s to compare directly. 3. **Formula for conversion:** $$\text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000}{3600} = \text{Speed in km/h} \times \frac{5}{18}$$ 4. **Calculate the car's speed in m/s:** $$55 \times \frac{5}{18} = \frac{55 \times 5}{18} = \frac{275}{18}$$ 5. **Simplify the fraction:** $$\frac{275}{18} \approx 15.28 \text{ m/s}$$ 6. **Compare speeds:** - Car speed: approximately $15.28$ m/s - Leopard speed: $15$ m/s 7. **Conclusion:** The car is slightly faster than the leopard because $15.28 > 15$.