Grade 11 Physics · Speed, distance, time
One relation, three questions
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One relation, three questions

v=d/tv = d/t is one fact wearing three outfits: solve it for vv, for dd, or for tt, and it answers three different exam questions. The rearranging is the physics — the arithmetic afterward is just bookkeeping. From here on, every question can ask for ANY of the three, so the ladder is: pick the formula, rearrange it for what you want, put the numbers in their sockets, and only then compute.

And run the free check before any arithmetic: push the units through your rearrangement. d/td/t is metres over seconds — m/s\mathrm{m/s}, a speed — so v=d/tv = d/t survives. If the units refuse to cancel into the units your answer needs, the rearrangement is wrong. Full stop, no appeal. But mind the one-way street: units guide the way, they can’t be relied on completely. Wrong units always prove a wrong rearrangement; right units never prove a right one.