Grade 10 Science · Solve for Distance
Turning the formula around
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Turning the formula around

Sometimes the speed is the given and the distance is the mystery. One formula, turned around: d=vtd = v\,t — read aloud, d equals v t. A speed held for a time piles up distance: 3 metres every second, for 10 seconds, is 30 metres. Multiplication is just the piling-up written down.

Here is your built-in lie detector for rearrangements — check the units: m/s×s=m\mathrm{m/s} \times \mathrm{s} = \mathrm{m}. The seconds cancel and plain metres remain, exactly what a distance wears. Mind the one-way rule though: if the units refuse to cancel to the answer's units, the rearrangement is WRONG, no appeal — but units that work out don't prove it right. They guide; they don't confess.