[[quoteright:350:http://static.tvtropes.org/pmwiki/pub/images/Five_Centimeters_Per_Second_8059.jpg]]
[[caption-width-right:350:''At what speed must I live... to be able to see you again?'']]

''5 Centimeters Per Second'' is Creator/MakotoShinkai's third film, and was released in 2007. However, unlike his other works, the events here reflect the relentless nature of reality.

The movie's focus is about two people named Takaki Tohno and Akari Shinohara, following them as they mature. It is divided into three episodes that together, comprise the movie. The first part, "Cherry Blossoms", follows Takaki's reflections on his relationship with Akari while they were children. The second act, "Cosmonaut", leaves Akari to depict Takaki as a teenager and is told from Kanae Sumida's perspective. The final part, which is also called "5 Centimeters Per Second", shows them as young adults, in a montage set to the famous Japanese pop song "One More Time, One More Chance".

The title ''5 Centimeters Per Second'' refers to the speed at which CherryBlossom petals fall and acts as a metaphor for the nature of love and human relationships.

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!!''5 Centimeters Per Second'' provides examples of:

* AbsenceMakesTheHeartGoYonder: This is subverted to some degree: while Takaki's mind does indeed go yonder, his heart remains fixated on one constant point: this accounts for Kanae's observation that he is always looking toward something distant, and fails to notice people around him. For most of the movie, he is unable to have the individual who invoked such feelings in him because he was too rigid to move toward anyone -- until the end, at which point he becomes capable of actually taking control of his own life and taking it in the direction that he wants it to go. To this end, his heart has not gone yonder; rather, it becomes a little more malleable and open.
* AdaptationExpansion: The [[RevisedEnding manga adaptation]] breathes insight into Kanae's life following the events of the movie and parallels Takaki's experiences during his adulthood; with her life passing through the same cycle of entering and leaving relationships, she ultimately decides to confront her feelings head-on by trying to meet up with Takaki. Contrasting Takaki's implied meeting with Akari, Kanae [[spoiler:decides to pursue him when she appears to have found him again]].
* AirplaneOfLove: To emphasise how distant Takaki is to Kanae, the launch of a rocket replaces the airplane.
* AlienSky: Takaki's recurring dreams feature sweeping panoramas of familiar landscapes juxtaposed with [[https://lh5.googleusercontent.com/-n3gRLPTIgYw/TPxKVSyH5SI/AAAAAAAAD_4/kMJuVigVmBU/s1280/FCPS-2010-12-05-18h33m41s162.png skies featuring unique sights]].
* AllLoveIsUnrequited: The driving force behind the story, this movie illustrates how reality does not follow the "happily ever after" route, and how love is sometimes unrealised.
* BittersweetEnding: While Takaki quit his first job and broke up with his girlfriend, he gradually takes control of his life and begins to overcome the lonely and bitter feelings that he's been nursing for fifteen years. Takaki eventually finds a job as a freelance developer.
* BlandNameProduct:
** ''[=McDonalge=]'', a fast food chain in Takaki's recollections.
** A ''Starberks Coffee'' is located in one of the train stations.
** Takaki glances at his ''Ocasi'' digital watch several times en route to Iwafune.
** A ''Windows Vasta'' magazine can be seen in a convenience store that Takaki visits as an adult.
** In an aversion, Takaki uses a wireless ''[=LogiCool=]'' mouse at his workplace. Known as Logitech in other nations, ''Logitec'' belongs to another Japanese organisation that specialises in peripheral manufacturing.
* {{Bookends}}: The film begins and ends with [[spoiler: Takaki and Akari at the train station with CherryBlossoms falling around them]].
* CanNotSpitItOut: Kanae struggles to tell Takaki that she's deeply in love with him.
* CaughtTheHeartOnHisSleeve: [[spoiler: Kanae grabs Takaki's sleeve and tries to confess her love, but it never really works out.]]
* CherryBlossoms: First mentioned by Akari, the rate at which CherryBlossoms fall under normal circumstances acts as a metaphor for falling in love.
* CigaretteOfAnxiety: By the time he becomes an adult, the clearly depressed Takaki had started smoking.
* {{Deconstruction}}: Ultimately, the film is a powerful deconstruction of the concept of TrueLove, showing us how this romantic, oftentimes completely unrealistic fixation on one, single juvenile pleasure - the one and only person whom we believe ourselves capable of loving - could result in us [[spoiler: missing all the opportunities life throws at us to love other people in other places and times. True love is beautiful when it works - it can result in the most precious moments of your life. But when you dedicate yourself completely to it, to the exclusion of all else, you risk ending up with nothing.]]
* DiegeticSwitch: The famous J-ballad "One More Time, One More Chance" by Masayoshi Yamazaki is first heard playing in low fidelity from a convenience store's speakers, but transitions into the soundtrack itself, in the final act.
* DreamingOfThingsToCome: Takaki has a recurring dream of himself and an unknown girl (who heavily resembles Akari) climbing a hill in a surrealistic sunrise. Aside of being a {{homage}} for ''The Place Promised In Our Early Days'', the significance of the scene is very much symbolic, tying into Act 2's theme of "astronomical distance".
* {{Expy}}: Takaki incorporates elements derived from the male leads in Shinkai's previous works, and shares some similarities to [[TheGreatGatsby Jay Gatsby]].
* GratuitousEnglish: As with Shinkai's other movies, it has a Japanese title (''Byōsoku Go Senchimētoru''/"5 Centimeters Per Second") but an English subtitle; in this case: ''A Chain Of Short Stories About Their Distance''.
* InMediasRes: The last third begins on March 2008, with Takaki working at home before going for a walk. [[spoiler: He then sees Akari again at the train stop, whereby the rest of the segment flashes back to him at his old job and old (or at least messy) apartment. It is still implied he had finished his three year relationship by this point, due to the date on the text from his ex-girlfriend showing February 2008.]] Of course once the ending sequence begins, the vast majority is in the form of flash backs since it goes back to their childhood, before returning to the present day.
* IWillWaitForYou: This is implied in the second act and [[spoiler: subverted in the third act]]: In the period between the end of part two and the beginning of part three, Takaki has [[spoiler:had at least one long-term relationship with another woman]], and Akari has [[spoiler:become engaged to another man]].
* JustFriends: Takaki becomes thus to Akari (possibly) when she doesn't turn back, and Kanae to Takaki when she doesn't reveal her feelings for him.
* KissingDiscretionShot: Akari stands on her tip-toes to kiss Takaki under the sakura tree before they spend the night together.
* LeaveTheCameraRunning: The final VehicleVanish shot (set to the final guitar riffs of "One More Time, One More Chance") is noticeably much longer than the rest of the film's shots, lasting long enough for both trains to clear and show that Akari had left.
* LongDistanceRelationship: Takaki and Akari share letters over long distance as youth, but when Takaki moves to the southern islands, their communication ceases, and their relationship gradually fades.
* LovingAShadow: In his adulthood, Takaki appears to be in love with an abstraction of Akari, rather than Akari herself. Consequently, he finds it difficult to make meaningful relationships with those around him, leading his girlfriend, Risa, to remark that he feels distant in spite of all the time they've spent together.
* NewTransferStudent: Owing to their parents' work, Takaki and Akari transfer to different schools throughout the story, bringing them together in the beginning but separating them as time passes on.
* ParasolOfPrettiness: Akari does a small dance with her umbrella in hand at the beginning of Cherry Blossoms.
* RealPlaceBackground: The various locales shown in the anime are inspired by [[http://infinitemirai.wordpress.com/2014/03/23/tokyo-region-home-of-five-centimeters-per-second/ locations in Tokyo]].
* RedOniBlueOni: Akari is blue, Kanae is red.
* SadTimesMontage: The third act portrays a flashback of Takaki experiencing the aftermath of his breakup with his girlfriend and ensuing depression.
* SceneryPorn: The [[DoingItForTheArt artwork is awe-inspiring]]; the sheer volume of detail present in the movie, especially with respect to some of the minor scenes and [[https://lh6.googleusercontent.com/-UIBFWB9nkSA/TPxKDVok6XI/AAAAAAAAD9U/VT1pZTk5udk/s1280/FCPS-2010-12-05-18h25m44s248.png.jpg background]] elements, almost makes reality look drab by comparison.
* ShoutOut:
** In one of Takaki's flashbacks during "Cherry Blossoms", Akari stops to pet a cat named Chobi, and remarks that it must be lonely for him without Mimi around; in Shinkai's short Anime/SheAndHerCat, Chobi is the name of the titular cat, and he has a lady-friend (also a cat) named Mimi.
** A tall tower is present in Takaki's recurring dreams, reminiscent of the Union's tower in Shinkai's previous work, ''Anime/ThePlacePromisedInOurEarlyDays.''
** The cover of the railway book that Takaki buys in the first act is an environment shot from ''Anime/ThePlacePromisedInOurEarlyDays''.
* SnowMeansLove: Takaki and Akari kiss under the Sakura tree for the first time. While it signifies love, it also signifies the coldness Takaki feels when faced with the prospect of being separated from her.
* StarCrossedLovers:
** Forces outside of Takaki or Akari's control drive a distance between them, as their parents must move for their work.
** For Kanae, she ultimately decides against letting Takaki know of her feelings on the basis that he appeared to be longing for something beyond what she could offer. This is symbolized by her [[spoiler:tearful confession being cut off by a rocket launch]].
* ThemeAndVariationsSoundtrack: Some of the piano arrangements share motifs with "One More Time, One More Chance".
* TimeSkip: Each act is separated by the passage of a few years.
* TitleDrop: The movie opens with Akari explaining to Takaki that cherry blossoms fall at a rate of five centimeters per second.
* TomboyAndGirlyGirl: Akari and Kanae never meet in the movie, but Akari is noticeably more intelligent whereas Kanae is noticeably more physically active and assertive. This is played with in the reverse direction: Kanae comes across as being more emotionally fragile than Akari.
* TrainStationGoodbye: When the two lovers finally part, they leave behind their innocence and unspoken emotions.
* TrueLovesKiss: Despite Takaki and Akari sharing a kiss early on, life for Takaki remains somewhat of a challenge from there until the ending of the final act.
* UmbrellaOfTogetherness: Some of Takaki and Akari's classmates have drawn the umbrella symbol on the blackboard with Takaki and Akari's names under it, presumably to tease Akari; when Takaki enters, he sweeps the board and runs of with Akari.
* UnluckyChildhoodFriend: All three characters find woe in matters of the heart, but Kanae fits the trope best, as she's not a main focus character.
* VehicleVanish: This is perhaps one of the most moving instances, as Akari and Takaki become separated after their last meeting together. The final shot of the movie depicts the adult Akari and Takaki walking across the train crossing once again, passing by each other. As the two notice each other right after crossing, two trains pass right between them. As the train leaves, Akari disappears, and Takaki looks longingly into the emptiness before finding peace in himself, makes a faint smile, and leaves the crossing, finally letting go of his past.
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