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Lesson 2 · Choosing the tool
Match the story to the machine
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Match the story to the machine

A formula is a machine with labelled sockets. v=dtv = \dfrac{d}{t} (read aloud: v equals d over t) takes a distance and a time; a=Δvta = \dfrac{\Delta v}{t} (a equals delta-v over t) takes a change in speed and a time. Say them out loud once — a formula you can SAY is a formula you own. The fastest way to pick the right machine is to ask what the story GIVES you — not what it asks for.

Steady motion, no speeding up? That is v=dtv = \dfrac{d}{t} territory. Something gaining or losing speed? That is Δv\Delta v, and Δv\Delta v means acceleration. Nothing has a mass in this chapter, so if you ever feel tempted by F=maF = ma here, the problem is telling you to reread it.