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Speed Conversions

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Speed Conversions


1. Problem: A car travels 1km in 30 seconds. Calculate its speed in m/s. Step 1: Convert 1 km to meters: 1 km = 1000 m. Step 2: Speed = distance / time = 1000 m / 30 s = $$\frac{1000}{30} = 33.33$$ m/s. 2. Problem: A car travels at 10 m/s for 80 meters. How long is it traveling for in seconds? Step 1: Time = distance / speed = 80 m / 10 m/s = 8 seconds. 3. Problem: A cyclist covers 2000 m in 360 seconds. What is the speed in m/s? Step 1: Speed = distance / time = 2000 m / 360 s = $$\frac{2000}{360} = 5.56$$ m/s. 4. Problem: A cyclist completes a race of 25 kilometers in 1 hour. Determine speed in m/s. Step 1: Convert 25 km to meters: 25 km = 25000 m. Step 2: Convert 1 hour to seconds: 1 hr = 3600 s. Step 3: Speed = 25000 m / 3600 s = $$\frac{25000}{3600} \approx 6.94$$ m/s. 5. Problem: An airplane flies at 900 km/h. Calculate speed in m/s. Step 1: Convert 900 km/h to m/s by dividing by 3.6: Speed = $$\frac{900}{3.6} = 250$$ m/s. 6. Problem: A train moves at 36 km/h. Find speed in m/min. Step 1: Convert km/h to m/min. Since 1 km = 1000 m and 1 h = 60 min: Speed = $$\frac{36 \times 1000}{60} = 600$$ m/min. 7. Problem: Convert 30 mph to m/s (1 mile = 1600 m). Step 1: Convert 30 miles to meters: 30 miles = 30 × 1600 = 48000 m. Step 2: Convert hours to seconds: 1 hour = 3600 seconds. Step 3: Speed = 48000 m / 3600 s = $$\frac{48000}{3600} = 13.33$$ m/s. 8. Problem: Usain Bolt sprints at 23 mph. Convert to m/s. Step 1: Convert 23 miles to meters: 23 × 1600 = 36800 m. Step 2: Speed in m/s = 36800 / 3600 = $$\approx 10.22$$ m/s. 9. Problem: A car drives at 70 mph. Convert to m/s. Step 1: Convert 70 miles to meters: 70 × 1600 = 112000 m. Step 2: Speed in m/s = 112000 / 3600 = $$31.11$$ m/s. 10. Problem: A train travels at 100 mph. Convert to m/s. Step 1: Convert 100 miles to meters: 100 × 1600 = 160000 m. Step 2: Speed in m/s = 160000 / 3600 = $$44.44$$ m/s.