Algebra & Expressions
Unit Conversion (mph to m/s)
Unit conversion uses multiplication by conversion factors — fractions equal to 1 — to change units without changing the value. To convert mph to m/s: multiply by 1609.34 meters/mile and divide by 3600 seconds/hour.
Watch & Learn
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Worked Examples
Follow along with these step-by-step examples. Take your time — there's no rush!
Problem
Convert 60 mph to meters per second
Step-by-Step Solution
60 miles/hour × (1609.34 meters/1 mile) × (1 hour/3600 seconds)
Cancel miles: miles/miles = 1. Cancel hours: hours/hours = 1.
60 × 1609.34 / 3600 = 96560.4 / 3600 ≈ 26.82 m/s
Answer
≈ 26.82 m/s
Problem
Convert 30 mph to meters per second
Step-by-Step Solution
30 × 1609.34 / 3600
= 48280.2 / 3600
≈ 13.41 m/s
Answer
≈ 13.41 m/s
Problem
A car travels at 100 km/h. Convert to m/s.
Step-by-Step Solution
100 km/h × (1000 m/1 km) × (1 h/3600 s)
= 100,000 / 3600
≈ 27.78 m/s
Answer
≈ 27.78 m/s
Problem
Convert 15 mph to m/s.
Step-by-Step Solution
15 × 1609.34 / 3600
= 24140.1 / 3600
≈ 6.71 m/s
Answer
≈ 6.71 m/s
Problem
A sprinter runs 10 m/s. Convert to km/h.
Step-by-Step Solution
10 m/s × (1 km / 1000 m) × (3600 s / 1 h)
= 10 × 3600 / 1000
= 36 km/h
Answer
36 km/h
Your Turn — Practice Problems
Try all 5 problems on your own first. Write out your work — that's how it sticks!
💡 Tip: Don't peek at the answers until you've genuinely tried each one.
Convert 45 mph to m/s
Convert 10 mph to m/s
Convert 72 km/h to m/s
Convert 90 km/h to m/s
Convert 55 mph to m/s
Convert 5 m/s to km/h
Convert 120 km/h to m/s
Convert 30 mph to km/h
Convert 15 m/s to km/h
Convert 60 mph to m/s
Convert 1 m/s to km/h
Convert 108 km/h to m/s
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