27:null 28:["$","title",null,{"children":"The diminishing returns of going faster | Martien van Steenbergen | Observable"}] 2d:[] 2b:{"id":"97077b6874f7401e","slug":null,"title":"The diminishing returns of going faster","thumbnail":"3130f5511aa4d3450dc7472e31899cd782ae27507c348d00c7b3203b0b28b192","access_level":"public","create_time":"$D2026-01-27T21:04:41.293Z","update_time":"$D2026-01-27T21:04:41.293Z","view_time":null,"first_public_time":"$D2026-01-27T21:04:41.293Z","has_unpublished_edits":null,"fork":{"id":"3f95fc782781b8cf","slug":"the-diminishing-returns-of-going-faster","title":"The diminishing returns of going faster","owner":{"id":"97290e936c339d8e","login":"tophtucker","name":"Toph Tucker"}},"stars":0,"starred":false,"owner":{"type":"team","id":"6e89ba4444f0cc85","login":"martien","name":"Martien van Steenbergen","avatar_url":"https://avatars-next.observableusercontent.com/40dc8e4f86d0cf89184b173b4d1d88336e5728c175479f33261ced3496adb3c2","tier":"starter_2024"},"version":167,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"3c5ecb707ecd20a7","login":"martien","name":"Martien van Steenbergen","avatar_url":"https://avatars-next.observableusercontent.com/40dc8e4f86d0cf89184b173b4d1d88336e5728c175479f33261ced3496adb3c2","tier":null}],"members":[{"type":"individual","id":"3c5ecb707ecd20a7","login":"martien","name":"Martien van Steenbergen","avatar_url":"https://avatars-next.observableusercontent.com/40dc8e4f86d0cf89184b173b4d1d88336e5728c175479f33261ced3496adb3c2","tier":null,"role":"editor"},{"type":"team","id":"6e89ba4444f0cc85","login":"martien","name":"Martien van Steenbergen","avatar_url":"https://avatars-next.observableusercontent.com/40dc8e4f86d0cf89184b173b4d1d88336e5728c175479f33261ced3496adb3c2","tier":"starter_2024","role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"The diminishing returns of going faster","cells":[{"id":0,"value":"# The diminishing returns of going faster","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":17,"value":"\n ${times.map(({mph1, mph2, miles}) => htl.html`\n \n \n \n \n \n \n `)}\n

Going

${mph2} mph

instead of

${mph1} mph

saves you 1 minute every

${f2(miles, \"mile\")}

","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":152,"value":"Inputs.table(times, {width: 640, columns: [\"Going\", \"instead of\", \"saves you 1 minute every\"]})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":59,"value":"_E.g._, suppose you drive for 1 mile. At 20 mph, it takes 3 minutes; at 30 mph, it takes 2. You’ve saved one minute per mile.\n\nHowever, as Mike points out, kinetic energy is ${tex`{\\frac {1}{2}}mv^{2}`}. So, the faster you go, the more that one more mile per hour adds to your kinetic energy.\n\nI’d say my main lesson from my cross-country drive in 2020 was that speeding saves very little time compared to the time wasted checking your phone at a gas station.\n\n---","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":3,"value":"function distanceToSaveTime(mph1, mph2, minutesSaved) {\n const hoursSaved = minutesSaved / 60;\n const distance = hoursSaved / (1 / mph1 - 1 / mph2);\n return distance;\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"times = d3.range(10, 100, 10).map(mph1 => {\n const mph2 = mph1 + 10;\n const miles = distanceToSaveTime(mph1, mph2, 1);\n return {mph1, mph2, miles, Going: `${mph1} mph`, \"instead of\": `${mph2} mph`, \"saves you 1 minute every\": `${miles.toFixed(1)} miles`}\n})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":12,"value":"f = d3.format(\".1f\")","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":52,"value":"f2 = (n, unit) => {\n const ignorable = [\"0\", \".\"];\n const str = f(n);\n const chars = [...str];\n let ignore = true;\n const spans = [];\n for (let i = chars.length - 1; i >= 0; i--) {\n const char = chars[i];\n const ignoreThis = ignorable.includes(char);\n if (ignore && ignoreThis) {\n // Or should they be gray?\n spans.unshift(htl.html`${char}`);\n } else {\n if (ignore && !ignoreThis) ignore = false;\n spans.unshift(htl.html`${char}`);\n }\n }\n // return spans;\n return htl.html`${spans} ${unit}${Number(str) === 1 ? htl.html`s` : `s`}`;\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":31,"value":"","pinned":true,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"}],"files":"$W2d","stdlib":"1","titling":"auto"}} 2c:"$2b:body"