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mathskit

Equations of motion

Introducing differential equations

Ljupco Smokovski/Fotolia

One day last summer I cycled through North Yorkshire from Beverley to Whitby, a distance of more than 100 km. It took me more than 10 hours, so you can see that I’m not a very fast cyclist. Rounding the numbers to make the arithmetic easier, I can use the well-known equation:

and conclude that my speed was 100 km/10 h = 10kmh –1. Does this mean I can plot my journey on a graph like Figure 1a?

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Previous

The Nobel prize in 1912

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Cells and internal resistance

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