Grade 10 Science · Speed in Real Units
The ×3.6 bridge
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The ×3.6 bridge

Physics thinks in m/s\mathrm{m/s}; the road signs outside think in km/h\mathrm{km/h}. The bridge between them is exact and friendly: an hour is 3600 seconds, a kilometre is 1000 metres, and 3600÷1000=3.63600 \div 1000 = 3.6. So 1 m/s=3.6 km/h1\ \mathrm{m/s} = 3.6\ \mathrm{km/h} — m/s to km/h multiplies by 3.6, km/h to m/s divides.

Never sure which way? The numbers themselves will tell you: for the same real speed, the km/h number is always the BIGGER one — a 10 m/s sprinter is doing 36 km/h. If your conversion made the km/h number smaller, you crossed the bridge backwards. Turn around and cross again.