{"id":67900,"date":"2026-09-29T04:55:37","date_gmt":"2026-09-28T19:55:37","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=67900"},"modified":"2026-09-29T04:55:37","modified_gmt":"2026-09-28T19:55:37","slug":"tormaytimme-koekarryn-kohteeseen-kuvaajat-paljastavat-nopeuden-nelion-salaisuuden-liike-energiakoe","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=67900&lang=fi","title":{"rendered":"T\u00f6rm\u00e4ytimme koek\u00e4rryn kohteeseen! Kuvaajat paljastavat &#8220;nopeuden neli\u00f6n&#8221; salaisuuden (liike-energiakoe)"},"content":{"rendered":"<p>&#8220;Jos nopeus kaksinkertaistuu, kuinka moninkertaiseksi t\u00f6rm\u00e4yksen isku kasvaa?&#8221;<\/p>\n<p>Liikenneonnettomuusuutisissa &#8220;ylinopeus&#8221; nousee esiin yh\u00e4 uudelleen, ja syy on yksinkertainen: pienikin nopeuden lis\u00e4ys tekee iskusta yll\u00e4tt\u00e4v\u00e4n paljon rajumman. Salaisuus piilee fysiikasta tutussa k\u00e4sitteess\u00e4, <b>liike-energiassa<\/b>.<\/p>\n<p>Mist\u00e4 suureista liike-energia sitten riippuu? Kun kysyin oppilailta heid\u00e4n arvauksiaan, he ehdottivat &#8220;massaa&#8221; ja &#8220;nopeutta&#8221;.<\/p>\n<p>T\u00e4m\u00e4 koe tehd\u00e4\u00e4n yleens\u00e4 pieness\u00e4 mittakaavassa: marmorikuula vieritet\u00e4\u00e4n radalla kohti maalia. Min\u00e4 p\u00e4\u00e4tin tehd\u00e4 siit\u00e4 isomman version, jossa <b>yhden kilon dynamiikkavaunu<\/b> t\u00f6rm\u00e4\u00e4 maalilaatikkoon ja tulokset luetaan siit\u00e4, miten laatikko liikkuu. Isompi mittakaava tekee tulosten tulkitsemisesta helpompaa. Esittelen t\u00e4ss\u00e4 t\u00e4m\u00e4n kokeen.<\/p>\n<h3>Tarvikkeet<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-42149 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-scaled.jpg\" alt=\"\" width=\"419\" height=\"314\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-scaled.jpg 2560w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-300x225.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-1024x768.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-768x576.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-1536x1152.jpg 1536w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/IMG_6578-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><\/p>\n<ul>\n<li>Dynamiikkavaunu\u2026 Sen massa on 1 kg.<\/li>\n<li>Painot (500 g) \u00d7 2\u2026 K\u00e4ytin painoina kahta 500 gramman \u00f6ljysavip\u00f6tkyl\u00e4\u00e4. Kun vaunun p\u00e4\u00e4lle laittaa yhden, kokonaismassa on 1,5 kg, ja kahdella se on 2 kg, eli <b>vaunun massaa voi muuttaa helposti<\/b>.<\/li>\n<li>Beespi\u2026 Yksinkertainen nopeusmittari.<\/li>\n<li>Bambuviivotin<\/li>\n<li>Kertak\u00e4ytt\u00f6iset sy\u00f6m\u00e4puikot<\/li>\n<li>Ticker timer -aikamerkitsin<\/li>\n<li>Maalarinteippi\u2026 Sill\u00e4 merkit\u00e4\u00e4n paikat p\u00f6yd\u00e4lle.<\/li>\n<li>Maalilaatikko\u2026 Tein sen ev\u00e4srasiasta ja laittamalla sinne sopivasti \u00f6ljysavea. K\u00e4tev\u00e4\u00e4, ett\u00e4 sen voi rakentaa arkisista tavaroista.<\/li>\n<\/ul>\n<h3>Koej\u00e4rjestely<\/h3>\n<p>1\u3000Kiinnit\u00e4 sy\u00f6m\u00e4puikko maalarinteipill\u00e4 dynamiikkavaunuun. Aseta sitten laatikko paikalleen ja mittaa nopeus Beespill\u00e4 <b>juuri ennen kuin vaunu osuu laatikkoon<\/b>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-31945 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/12c176ecdf683bdff2cf04cdaa4a0270.png\" alt=\"\" width=\"494\" height=\"223\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/12c176ecdf683bdff2cf04cdaa4a0270.png 1428w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/12c176ecdf683bdff2cf04cdaa4a0270-300x135.png 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/12c176ecdf683bdff2cf04cdaa4a0270-768x346.png 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/12c176ecdf683bdff2cf04cdaa4a0270-1024x462.png 1024w\" sizes=\"auto, (max-width: 494px) 100vw, 494px\" \/><\/p>\n<p>2\u3000Vaihtele nopeutta (v\u00e4lill\u00e4 0,20\u20130,80 m\/s), t\u00f6rm\u00e4yt\u00e4 vaunu laatikkoon ja kirjaa yl\u00f6s, kuinka pitk\u00e4lle laatikko liukuu vaunun mukana.<\/p>\n<p><iframe loading=\"lazy\" title=\"\u300c\u4ea4\u901a\u898f\u5247\u306e\u529b\u5b66\u300d\u5b9f\u9a13\u8aac\u660e\u7528\u52d5\u753b\uff08\u6210\u529f\u4f8b\u3068\u5931\u6557\u4f8b\uff09\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/XDc3NliYXkc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-67881\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.58.jpeg\" alt=\"\" width=\"1288\" height=\"576\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.58.jpeg 1288w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.58-300x134.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.58-1024x458.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.58-768x343.jpeg 768w\" sizes=\"auto, (max-width: 1288px) 100vw, 1288px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-67883\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.49.jpeg\" alt=\"\" width=\"1260\" height=\"564\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.49.jpeg 1260w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.49-300x134.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.49-1024x458.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.28.49-768x344.jpeg 768w\" sizes=\"auto, (max-width: 1260px) 100vw, 1260px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-67882\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.29.07.jpeg\" alt=\"\" width=\"1290\" height=\"516\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.29.07.jpeg 1290w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.29.07-300x120.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.29.07-1024x410.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.29.07-768x307.jpeg 768w\" sizes=\"auto, (max-width: 1290px) 100vw, 1290px\" \/><\/p>\n<p>3\u3000Kun nelj\u00e4 mittaustulosta on koossa, laita vaunun p\u00e4\u00e4lle yksi paino (1,5 kg) ja toista koe samalla tavalla. Lopuksi lis\u00e4\u00e4 toinen paino (2,0 kg) ja tee koe viel\u00e4 kerran.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-67884\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.02.jpeg\" alt=\"\" width=\"1396\" height=\"646\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.02.jpeg 1396w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.02-300x139.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.02-1024x474.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.02-768x355.jpeg 768w\" sizes=\"auto, (max-width: 1396px) 100vw, 1396px\" \/><\/p>\n<h3>Tulos \u2460 Nopeus ja liukumamatka<\/h3>\n<p>Seuraavaksi tulokset analysoidaan ja piirret\u00e4\u00e4n kuvaajiksi. T\u00e4ss\u00e4 vaiheessa oppilaille tulee yleens\u00e4 monenlaisia ep\u00e4ilyksi\u00e4 ja pohdintoja siit\u00e4, millaisella funktiolla dataan pit\u00e4isi sovittaa k\u00e4yr\u00e4. Juuri t\u00e4m\u00e4 on kokeen hauskin kohta.<\/p>\n<p>Aloitetaan nopeuden ja liukumamatkan kuvaajasta. <strong>Pystyakselille laitetaan laatikon liukumamatka ja vaaka-akselille nopeus.<\/strong><\/p>\n<p>Useimmat oppilaat arvasivat, ett\u00e4 kuvaaja olisi <b>suora<\/b>. Kun kuitenkin piirret\u00e4\u00e4n kuvaajat 1,0 kg:n, 1,5 kg:n ja 2,0 kg:n vaunuille, ne eiv\u00e4t olekaan suoria vaan <b>taipuvat mukavasti kaarelle<\/b>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67886 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.24.jpeg\" alt=\"\" width=\"439\" height=\"297\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.24.jpeg 986w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.24-300x203.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.24-768x519.jpeg 768w\" sizes=\"auto, (max-width: 439px) 100vw, 439px\" \/><\/p>\n<p>K\u00e4yr\u00e4 voisi olla paraabeli, joten jatketaan tutkimista. Jotta n\u00e4hd\u00e4\u00e4n, onko kyse toisen asteen funktiosta, korotetaan vaaka-akselin nopeus toiseen potenssiin. Kun pystyakselille laitetaan liukumamatka ja vaaka-akselille nopeuden neli\u00f6, huomataan, ett\u00e4 <b>liukumamatka on verrannollinen nopeuden neli\u00f6\u00f6n<\/b>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67885 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.09.jpeg\" alt=\"\" width=\"341\" height=\"325\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.09.jpeg 1052w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.09-300x286.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.09-1024x975.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.09-768x731.jpeg 768w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/p>\n<h3>Tulos \u2461 Massa ja liukumamatka<\/h3>\n<p>Sitten massa. Massoja pit\u00e4\u00e4 verrata <b>samalla nopeudella<\/b>, mutta Beespill\u00e4 on k\u00e4yt\u00e4nn\u00f6ss\u00e4 mahdotonta saada 1,0 kg:n, 1,5 kg:n ja 2,0 kg:n vaunuja osumaan t\u00e4sm\u00e4lleen samalla nopeudella. Siksi k\u00e4ytet\u00e4\u00e4n \u00e4sken piirrettyj\u00e4 kuvaajia ja <b>luetaan niist\u00e4 laatikon liukumamatka samalla nopeudella<\/b>.<\/p>\n<p>Kun n\u00e4m\u00e4 arvot piirret\u00e4\u00e4n kuvaajaan (pystyakselilla liukumamatka ja vaaka-akselilla massa), tuloksena on suora.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67887 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.32.jpeg\" alt=\"\" width=\"367\" height=\"334\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.32.jpeg 752w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-29-4.17.32-300x273.jpeg 300w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/p>\n<h3>Yhteenveto: liike-energian todellinen luonne<\/h3>\n<p>Tulosten perusteella voidaan p\u00e4\u00e4tell\u00e4, ett\u00e4 <b>liike-energia on verrannollinen nopeuden neli\u00f6\u00f6n ja massaan<\/b>. Kirjoitettuna kaavaksi t\u00e4st\u00e4 alkaa hahmottua tuttu &#8220;1\/2 \u00d7 m \u00d7 v\u00b2&#8221;.<\/p>\n<p>Kertoimesta 1\/2 ei kuitenkaan voi t\u00e4m\u00e4n kokeen perusteella keskustella. Osa oppilaista yritti kaivaa sit\u00e4 esiin kuvaajan kulmakertoimesta, mutta vaunun ja laatikon yhteen tarttuva liike ei s\u00e4ilyt\u00e4 mekaanista energiaa, joten kerrointa ei voi t\u00e4st\u00e4 kokeesta m\u00e4\u00e4ritt\u00e4\u00e4.<\/p>\n<p>T\u00e4m\u00e4kin on t\u00e4rke\u00e4 oppitunti: <b>kyky erottaa, mit\u00e4 t\u00e4m\u00e4 koe kertoo ja mit\u00e4 se ei kerro<\/b>, on tieteellisess\u00e4 ajattelussa hyvin olennainen taito.<\/p>\n<p>Tulos liittyy my\u00f6s arkeen, esimerkiksi auton jarrutukseen.<\/p>\n<p>Kun nopeus kaksinkertaistuu, liike-energia nelinkertaistuu. Siksi my\u00f6s jarrutusmatka pitenee suunnilleen nelinkertaiseksi. Pys\u00e4htymismatka 30 km\/h ja 60 km\/h nopeudesta on todella eri luokkaa. <strong>Kun piirsimme t\u00e4ss\u00e4 kokeessa &#8220;nopeuden neli\u00f6\u00f6n verrannollisen&#8221; kuvaajan, kosketimme samalla liikenneturvallisuuden ydinkysymyst\u00e4.<\/strong><\/p>\n<h3>Kuvaajan ulkon\u00e4k\u00f6 muuttaa johtop\u00e4\u00e4t\u00f6ksi\u00e4<\/h3>\n<p>Muuten, jos pystyakselille laitetaan laatikon liukumamatka ja vaaka-akselille nopeus, osa oppilaista n\u00e4kee kuvaajassa suoran.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-43121 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da36ca3ba810f2af6bb19d96de0537fd.jpg\" alt=\"\" width=\"363\" height=\"312\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da36ca3ba810f2af6bb19d96de0537fd.jpg 1096w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da36ca3ba810f2af6bb19d96de0537fd-300x258.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da36ca3ba810f2af6bb19d96de0537fd-1024x880.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da36ca3ba810f2af6bb19d96de0537fd-768x660.jpg 768w\" sizes=\"auto, (max-width: 363px) 100vw, 363px\" \/><\/p>\n<p>Sama p\u00e4tee massaan: jotkut oppilaat ep\u00e4ilev\u00e4t, ett\u00e4 kuvaaja voisikin olla paraabeli.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-43122 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da151a1bb1ae1d5a113d920bad49646c.jpg\" alt=\"\" width=\"378\" height=\"271\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da151a1bb1ae1d5a113d920bad49646c.jpg 998w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da151a1bb1ae1d5a113d920bad49646c-300x215.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/06\/da151a1bb1ae1d5a113d920bad49646c-768x551.jpg 768w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/p>\n<p>Datan keruutavasta ja vaihteluv\u00e4list\u00e4 riippuen kaareva k\u00e4yr\u00e4 voi n\u00e4ytt\u00e4\u00e4 l\u00e4hes suoralta. T\u00e4m\u00e4 on hyv\u00e4 esimerkki siit\u00e4, miten kuvaajan tulkinta vaikuttaa johtop\u00e4\u00e4t\u00f6ksiin.<\/p>\n<p>Koska t\u00e4ss\u00e4 kokeessa k\u00e4ytet\u00e4\u00e4n vaunua ja koe on n\u00e4ytt\u00e4v\u00e4n dynaaminen, huolellisella ty\u00f6ll\u00e4 saa aikaan melko siistit kuvaajat. N\u00e4in p\u00e4\u00e4st\u00e4\u00e4n luotettavasti niihin johtop\u00e4\u00e4t\u00f6ksiin, joihin haluttiin p\u00e4\u00e4ty\u00e4. Kokeile ihmeess\u00e4 itse arkisilla v\u00e4lineill\u00e4!<\/p>\n<h3>\uff19\u6708\u306e\u30a4\u30c1\u30aa\u30b7\u5b9f\u9a13\uff01<\/h3>\r\n<p style=\"text-align: center;\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=23985\">\u7d19\u30b3\u30c3\u30d7\u3000\u30b8\u30e3\u30a4\u30ed\u30ed\u30b1\u30c3\u30c8\u3092\u4f5c\u308d\u3046\uff01<\/a><\/p>\r\n<p style=\"text-align: center;\"><img class=\"alignnone wp-image-67257\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-09-07-15.02.37.jpeg\" alt=\"\" width=\"229\" height=\"226\" \/><\/p>\r\n\r\n<h3 style=\"text-align: left;\"><span style=\"font-size: medium;\"><b><strong>\u30c6\u30ec\u30d3\u756a\u7d44\u76e3\u4fee\u30fb\u30a4\u30d9\u30f3\u30c8\u7b49\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n \t<li>\uff19\u670825\u65e5\uff08\u91d1\uff0921:00\u301c\u3000<a href=\"https:\/\/bangumi.org\/tv_events\/AmHQQg-w0AM?overwrite_area=23\">\u304b\u307e\u3044\u305f\u3061\u306e\u77ac\u9593\u56de\u7b54\uff01<\/a>\u306b\u3066\u3001\u79d1\u5b66\u76e3\u4fee\u3092\u884c\u3044\u307e\u3057\u305f\u3002<\/li>\r\n \t<li>\uff11\uff10\u6708\uff11\uff10\u65e5\uff08\u571f\uff0911:15~12:00\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=66205\">\u5343\u8449\u5e02\u79d1\u5b66\u30d5\u30a7\u30b9\u30bf2026\u300c\u6851\u5b50\u5148\u751f\u306e\u56de\u8ee2\u79d1\u5b66\u30b7\u30e7\u30fc\u300d\u306b\u3066\u30b5\u30a4\u30a8\u30f3\u30b9\u30b7\u30e7\u30fc\u3092\u884c\u3044\u307e\u3059<\/a>\u3002\r\n<img class=\"alignnone wp-image-66207 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2026-08-05-5.24.40.jpeg\" sizes=\"(max-width: 419px) 100vw, 419px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-08-05-5.24.40.jpeg 1578w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-08-05-5.24.40-300x214.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-08-05-5.24.40-1024x731.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-08-05-5.24.40-768x548.jpeg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/08\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-08-05-5.24.40-1536x1096.jpeg 1536w\" alt=\"\" width=\"419\" height=\"299\" \/><\/li>\r\n \t<li>12\u670826\u65e5\uff08\u571f\uff09\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=64825\">\u30ca\u30ea\u30ab\u30b5\u30a4\u30a8\u30f3\u30b9\u30a2\u30ab\u30c7\u30df\u30fc\uff08\u6559\u54e1\u5411\u3051\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\uff09\u958b\u50ac<\/a><\/li>\r\n<\/ul>\r\n<h3><b>\u66f8\u7c4d<strong>\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/h3>\r\n<ul>\r\n \t<li>\u300e<a href=\"https:\/\/phys-edu.net\/wp\/?p=64462\">\u9ad8\u6821\u5165\u8a66 \u5206\u89e3\u554f\u984c\u96c6 \u7406\u79d1<\/a>\u300f\uff08\u5b66\u7814\uff09\u2026\u96e3\u3057\u3044\u554f\u984c\u3082\u5c0f\u3055\u306a\u554f\u984c\u306b\u5206\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3093\u306a\u5206\u89e3\u306e\u6280\u8853\u304c\u8eab\u306b\u3064\u304f\u3088\u3046\u306b\u6df1\u304f\u95a2\u308f\u308a\u3092\u6301\u3063\u3066\u4f5c\u308a\u307e\u3057\u305f\u3002\r\n<a href=\"https:\/\/phys-edu.net\/wp\/?p=64462\"><img class=\"alignnone wp-image-65097 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-07-04-8.40.17.jpeg\" alt=\"\" width=\"172\" height=\"244\" \/><\/a>\u300e\u5927\u4eba\u306e\u305f\u3081\u306e\u9ad8\u6821\u7269\u7406\u5fa9\u7fd2\u5e33\u300f\uff08\u8b1b\u8ac7\u793e\uff09\u2026\u4e00\u822c\u5411\u3051\u306b\u65e5\u5e38\u306e\u7269\u7406\u306b\u3064\u3044\u3066\u516c\u5f0f\u3092\u5143\u306b\u7d10\u89e3\u304d\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=1827\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u3067\u306f\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<strong>\u203b\u5897\u5237\u304c\u304b\u304b\u308a\uff16\u5237\u3068\u306a\u308a\u307e\u3057\u305f\uff082026\/02\/01\uff09\r\n<img class=\"alignnone wp-image-10940 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0.jpg 311w\" alt=\"\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8 2014-07-05 0.43.51\" width=\"220\" height=\"192\" \/><\/strong><\/li>\r\n \t<li>\u300e\u304d\u3081\u308b!\u5171\u901a\u30c6\u30b9\u30c8 \u7269\u7406\u57fa\u790e \u6539\u8a02\u7248\u300f\uff08\u5b66\u7814\uff09\u2026\u3000\u9ad8\u6821\u7269\u7406\u306e\u53c2\u8003\u66f8\u3067\u3059\u3002\u30a4\u30e9\u30b9\u30c8\u3092\u591a\u304f\u3057\u3066\u30a4\u30e1\u30fc\u30b8\u304c\u6301\u3066\u308b\u3088\u3046\u306b\u63cf\u304d\u307e\u3057\u305f\u3002\u6388\u696d\u306b\u3064\u3044\u3066\u3044\u3051\u306a\u3044\u3001\u7269\u7406\u304c\u82e6\u624b\u3001\u305d\u3093\u306a\u751f\u5f92\u306b\u304a\u3059\u3059\u3081\u3067\u3059\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=45322\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u306f\u3053\u3061\u3089\u3002\r\n<img class=\"alignnone wp-image-45718 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg\" sizes=\"(max-width: 184px) 100vw, 184px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg 756w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c-300x269.jpg 300w\" alt=\"\" width=\"184\" height=\"165\" \/><\/li>\r\n<\/ul>\r\n<h3><span style=\"text-align: center;\">\u5404\u7a2eSNS\uff08\u66f4\u65b0\u60c5\u5831\u3092\u304a\u5c4a\u3051\uff01\uff09<\/span><\/h3>\r\n<p style=\"text-align: center;\">\u3010\u65e5\u672c\u8a9e\u3011<a style=\"text-align: center;\" href=\"https:\/\/twitter.com\/kuwako\">X(Twitter)<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.instagram.com\/science_seeds\/\">instagram<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.facebook.com\/kuwakolab\/\">Facebook<\/a>\u3000\u3010\u82f1\u8a9e\u3011<a style=\"text-align: center;\" href=\"https:\/\/bsky.app\/profile\/kagakunoneta.bsky.social\">BlueSky<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.threads.net\/@science_seeds?hl=ja\">Threads<\/a><\/p>\r\n\r\n<h3 style=\"text-align: center;\"><strong>Explore<\/strong><\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=30764\">\u697d\u3057\u3044\u5b9f\u9a13<\/a>\u2026\u304a\u5b50\u3055\u3093\u3068\u4e00\u7dd2\u306b\u5922\u4e2d\u306b\u306a\u308c\u308b\u30a4\u30c1\u30aa\u30b7\u306e\u79d1\u5b66\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u9ad8\u6821\u7269\u7406\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u52d5\u753b\u6559\u6750\u3082\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/li>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=798\">\u7406\u79d1\u306e\u6559\u6750<\/a>\u2026 \u7406\u79d1\u6559\u5e2b\u3092\u30d0\u30c3\u30af\u30a2\u30c3\u30d7\uff01\u6388\u696d\u306e\u8cea\u3092\u9ad8\u3081\u3001\u6e96\u5099\u3092\u52b9\u7387\u5316\u3059\u308b\u305f\u3081\u306e\u9078\u308a\u3059\u3050\u308a\u306e\u6559\u6750\u3092\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a 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href=\"http:\/\/phys-edu.net\/wp\/?page_id=37\">About<\/a>\u00a0\u2026\u300c\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u300d\u306e\u30b3\u30f3\u30bb\u30d7\u30c8\u3084\u3001\u904b\u55b6\u8005\u3067\u3042\u308b\u6851\u5b50\u7814\u306e\u30d7\u30ed\u30d5\u30a3\u30fc\u30eb\u30fb\u60f3\u3044\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">\u304a\u554f\u3044\u5408\u308f\u305b<\/a> \u2026\u5b9f\u9a13\u6559\u5ba4\u306e\u3054\u4f9d\u983c\u3001\u57f7\u7b46\u30fb\u8b1b\u6f14\u306e\u76f8\u8ac7\u3001\u79d1\u5b66\u76e3\u4fee\u7b49\u306f\u3053\u3061\u3089\u306e\u30d5\u30a9\u30fc\u30e0\u304b\u3089\u304a\u5bc4\u305b\u304f\u3060\u3055\u3044\u3002<\/li>\r\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>&#8220;Jos nopeus kaksinkertaistuu, kuinka moninkertaiseksi t\u00f6rm\u00e4yksen isku kasvaa?&#8221; Liikenneonnettomuus [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":42149,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","sns_share_botton_hide":"","vkExUnit_sns_title":"","vkexunit_cta_each_option":"","_lightning_design_setting":{"layout":"default"},"footnotes":"","jetpack_post_was_ever_published":false},"categories":[1630],"tags":[],"class_list":["post-67900","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--fi"],"jetpack-related-posts":[{"id":65668,"url":"https:\/\/phys-edu.net\/wp\/?p=65668&lang=fi","url_meta":{"origin":67900,"position":0},"title":"Energia ei olekaan &#8220;esine&#8221;! 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