Knockback

As the damage meter goes up, so does the knockback of most moves, as seen here with Mario's forward smash on Link. Knockback is the measure of how far an attack sends its target. For most attacks, knockback increases as damage on a character increases. An example of an attack with high knockback is Bowser's forward smash; it launches opponents very far, so far that at high damages it's more powerful than a Home-Run Bat's smash attack. Pikachu's neutral attack, on the other hand, has very low knockback - it hardly sends opponents anywhere, even at ludicrous damages. Attacks with relatively low knockback tend to be good for combos. Basic physics The knockback of almost every attack works in tandem with the target's damage - it increases as the target's damage gets higher. It is also affected by the target's weight, gravity, and a few other conditions (such as type effectiveness). While not the primary factor, the damage dealt by an attack is a significant factor in how much knockback it deals - this is the reason stale moves have less knockback than fresh ones, and the reason smash attacks deal significantly more knockback when fully charged. Each hitbox of a move has two knockback values: a base knockback and a knockback scaling (also known as knockback growth). Base knockback is the minimum amount of knockback the attack can deliver (in normal circumstances), and knockback scaling is a factor that controls how much the knockback increases as damage increases. Moves with high base knockback deal high knockback under any circumstances, such as the swing of a Home-Run Bat. They additionally tend to be more effective at KOing when less knockback is needed to KO (such as against lighter characters, when near the edge of the stage, or when an opponent is handicapped to sustain more knockback). On the other hand, moves with high knockback scaling take less damage to reach KO potential, such as Luigi's forward smash. They additionally tend to be more effective at KOing when the opponent requires more knockback to be KO'd (such as against heavier characters, when far away from a stage's blast line, or when an opponent is handicapped to sustain less knockback). Advanced techniques to extend survival such as DI and momentum canceling are also less effective the stronger a move's knockback scaling is. In Melee, the highest knockback delivered and received by each character is given in a match's results screen, labeled as "Fastest Pitch" and "Top Speed" respectively, though the numbers lack meaning. In Brawl, the velocity applied (in units per 1000 frames) is provided instead of the knockback value (though it's simply knockback divided by 0.03). The unit is given as "mph"; while this would presumably mean "miles per hour", this is obviously not the case, as a 1,000 mph hit would barely send characters anywhere. In Super Smash Bros. for Nintendo 3DS, knockback units are again shown without a meaning, while in Super Smash Bros. for Wii U, they are measured in "mph" as in Brawl, though in a lower scale. Strangely enough, knockback for a same move between the two games is actually shown in different scales: Ganondorf's Warlock Punch, for instance, scores 102 units of knockback against Mario at 0% damage (without other modifiers) in Smash 3DS, while scoring 53 mph under the same conditions in Smash U. Despite these differences among games, they all internally use the same knockback measurement units in accordance to the knockback formula, as evidenced by moves with unchanged damage and knockback values throughout them (such as Jigglypuff's back throw from Melee to Smash 4) keeping their knockback identical. The following table gives an idea of various knockback strengths: Knockback values in Brawl Knockback Velocity Example 10 333.33 One stage builder block per second 33.6 1120 Jigglypuff's short hop 43.2 1440 Jigglypuff's first jump 63 2100 Fox dashing (without running) 80.0001 2666.67 The minimum amount of knockback required to cause tumbling 102.6 3420 Falco's first jump 131.43 4381 Sheik's footstool jump 172.5 5750 The approximate knockback needed to KO from the center of Final Destination with the Sakurai angle DI'd down. 186 6200 The approximate knockback needed to KO from the center of Final Destination with the Sakurai angle and no DI. 204.75 6825 The approximate knockback needed to KO from the center of Final Destination with the Sakurai angle DI'd away. 300 10000 Jigglypuff's shield jump Angle indicator Appearing in all games to date, visual effects known as angle indicators show when a hitbox collides with an opponent; as its name suggests, the angle indicator shows the angle of said hitboxes. In Brawl, angle indicators show different colors depending on who or what they hit. For player one, the angle indicator is red, with the second player's indicator being blue, and so forth. Computer-controlled opponents and objects like Sandbag have white angle indicators. Angle indicators appear in Super Smash Bros. as small "bubbles" appearing in the direction of the angle. In Smash 4, angle indicators appear as colorful, stylized "debris" flying off of an impact. Smoke trails also indicate the angle at which a character is knocked away, but only appear when a character has taken a lot of damage, and are thus much less useful. In Smash 4, said smoke trails at higher knockback values are accompanied by thick light trails, colored depending on the player that dealt the knockback. Note the downward facing lines that indicate Donkey Kong's meteor smash. The angle indicator in Super Smash Bros. An angle indicator in Smash 4. Formula SSB Melee onward A demonstration of the effect of gravity on knockback, the Shulk on the left uses the hyper Speed Monado Art, increasing his gravity, and as a result, the knockback he sustains. Brawl and Smash 4 use a second formula to alter knockback based on the target's gravity: The result of this formula increases vertical launch speed if the target enters tumble. As a result, characters with higher gravity get launched faster than those with lower gravity, depending on how vertical the angle is, resulting in fighters with higher gravity stats having worsened vertical survivability. This is seemingly an attempt to normalize the effect of combos and multi-hit moves on characters of differing gravity. This formula is not applied to meteor smashes. Variables p is the percentage of the target, counted after the attack's damage is added. d is the damage the attack dealt. In SSB and Melee, it is the full damage without counting stale-move negation. In Brawl, it is the damage including the staleness or the freshness bonus. In SSB4, it is the damage including 0.7x of the staleness or freshness bonus. w is the weight of the target. Note that in SSB, heavier characters have a lower weight value than lighter ones, in accordance with the formula. s is the attack's knockback scaling (also known as knockback growth) divided by 100 (so a scaling of 110 is input as 1.1). b is the attack's base knockback. r is a series of ratios based on a number of factors, including: Difficulty Handicap (in SSB and Melee) Single-player mode conditions (e.g. in Melee's Event 24: The Yoshi Herd, all Yoshis give x0.5 knockback while taking x3.7 knockback) Damage ratio (between x0.5 and x2.0) Crouching penalty/Crouch cancel factor (x0.67 in SSB and Melee, and x0.85 in Smash 4) Smash charge interruption bonus (x1.2, Melee onwards, cannot be stacked with crouch cancel factor) Type effectiveness (x1.1 for super effective, x0.9 for not very effective, specific to Charizard, Ivysaur, and Squirtle in Brawl) Rage (between x1 and x1.15, Smash 4 only) If the move has a fixed knockback value set, then d is set to that value, and p is always 10. As a result, the knockback dealt is independent of current damage and damage dealt, but remains dependent on other factors. Other physics of knockback The vibrant "Deadly Blow" effect will appear if an attack does enough knockback to KO the victim. Bouncing off a surface reduces knockback by 20% in Melee and Smash 4 and 15% in Brawl. Landing a meteor smash or spike on a grounded opponent counts as a bounce, if enough knockback was dealt. Because the bounce occurs after the hit, the amount of hitstun suffered is not reduced a corresponding amount, meaning that downwards-hitting attacks tend to be excellent combo starters. In Brawl, characters that take enough knockback to be sent tumbling will slightly damage opponents they run into while flying. This hitbox belongs to the character that dealt the knockback, and inflicts minor damage (usually from 1% to 4%) and knockback depending on how powerfully the character was launched. This is also present in Melee, but only applies towards characters who receives knockback after a throw (not counting special move grabs like Falcon/Dark Dive and Koopa Klaw). This property was later removed in Smash 4, where launched opponents simply fly through other characters like in previous games. A similar effect is used against enemies in The Subspace Emissary, Smash Run and Master Fortress, known as careening, or the cannonball effect in Smash 4. When an enemy is defeated, it is sent flying at an angle (depending on the attack that KO'd it) and deals major damage to other enemies it runs into, before being removed from play. Characters with armor will take no knockback. In Smash 4, characters at higher percentages deal slightly more knockback, a factor popularly known as "rage". Rage starts building up at 35% damage and caps at 150%, at which the character deals 15% more knockback than normal. Characters in the background plane of Jungle Hijinxs take more knockback. In Smash 4, attacks dealing strong enough knockback to KO opponents before they can act afterwards produce a red-and-black lightning effect on contact, known as a Deadly Blow. This effect works depending on the distance required to KO the character rather than the actual strength of the knockback; for example, a forward or back throw towards a walk-off blast line will trigger the effect if the throw effectively KOs, even at low damage percentages where it would be otherwise very weak, while strong attacks launching foes from one side of the stage to the other will not display the effect if they don't KO, even if the knockback is strong enough to do so otherwise. Additionally, DI can still save the victim after the effect is displayed if the attack can just barely KO them. Attacks that freeze do not produce this effect at any percentage, instead simply causing the screen to flash white. Meteor smashes also do not produce the effect until higher percentages. In addition, the game does not consider stage walls, ceilings, or obstacles that can otherwise change the trajectory of knockback (thereby preventing or causing a KO) when determining whether the lightning appears. The Deadly Blow effect also tends to appear after the actual damage percentage at which an attack can start KOing. For example, Jigglypuff's Rest can KO Mario on the 3DS version's Final Destination with no DI starting at 60%, but the effect doesn't appear until 62%. In Smash 4, vectoring can decrease horizontal knockback to a minimum of x0.92 and increase it to a maximum of x1.095, depending on whether the victim holds in a direction against or towards the knockback respectively. Prior to patch 1.0.4, it also affected vertical knockback. In Smash 4, buried characters take 30% less knockback from attacks, provided these are strong enough to hit them out of said state. Set knockback Set knockback, also referred to as fixed knockback, is a property of some attacks where the amount of knockback dealt by the attack is always the same regardless of the opponent's percentage, stale-move negation, or how much damage the attack does. Moves with this property can be thought of as those having a knockback scaling factor of 0, though this is actually not the case. Usually, set knockback is used for the first hits of a natural combo or multi-hit move, while the last hit deals normal knockback (sometimes called "scaling knockback" to contrast), to make it easier for the entire attack to hit regardless of the opponent's damage. While damage is not a factor for set knockback, the character's weight still is, so the term weight-dependent set knockback is sometimes used. List of set knockback moves Super Smash Bros. With the exception of Captain Falcon, all characters in Super Smash Bros. have at least one move with set knockback. DK's dash attack, Spinning Kong, and Hand Slap. Fox's down aerial, up aerial (first hit), Blaster and Reflector. Kirby's Final Cutter (meteor smash and up slice), up air, forward air (all but the last hit), neutral air and down air (landing hit), Inhale. Link's up smash (first 2 hits). Luigi's sourspotted Super Jump Punch dash attack, down air, and taunt. Mario's Super Jump Punch (excluding last hit), down air, and Mario Tornado. Ness's PK Fire (all outside of first hit). Pikachu's forward aerial. Samus's up air and Screw Attack. Yoshi's up tilt, down tilt, Egg Lay, Yoshi Bomb (stars). Super Smash Bros. Melee Most neutral attacks have set knockback during the first hits. All windboxes. Mario's and Dr. Mario's Mario Tornado, excluding the last hit. Dr. Mario's first hit of Super Jump Punch. Mario's and Dr. Mario's down aerial. Fox's Reflector, down aerial, and up aerial (first hit). Ice Climbers' down aerial. Yoshi's down tilt. Luigi's taunt and sourspotted Super Jump Punch. Mario and Luigi's down angled forward tilt. Kirby's Hammer (in the air) and Final Cutter. Bowser's up throw. Peach's Peach Parasol startup. Donkey Kong's Hand Slap. Bowser's down aerial (first hits). Captain Falcon's uncharged smash attack with a Home-Run Bat. Captain Falcon's neutral air (first hit). Falco's Blaster (both neutral special and shots during throws). Young Link's forward smash (first hit). Roy's Blazer. Mr. Game & Watch's Judge #8. Red Shell. Super Smash Bros. Brawl Many jabs, such as Kirby's, have set knockback for all but their last hit. Many multi-hitting smash attacks have setup hits with set knockback (e.g., Ness's up and down smashes). All windboxes. King Dedede's down throw. Luigi's down taunt and sourspotted Super Jump Punch. Toon Link's forward smash (first hit). Kirby's Final Cutter (up and downwards stroke). Fox's up aerial (first hit). Falco's Blaster. Wolf's neutral aerial (3rd hit to end) and Reflector. Mr. Game & Watch's Judge #8. Super Smash Bros. 4 Many jabs, such as Mario's and Ryu's, have set knockback for all but their last hit. All windboxes, except for Mr. Game & Watch's down tilt, and Greninja's up special and down taunt. Bayonetta's late After Burner Kick (default). Bowser Jr.'s Mechakoopa (first hit). Captain Falcon's neutral aerial (first hit). Diddy Kong's Banana Peel. Falco's Blaster. Fox's up aerial (first hit). Kirby's Final Cutter (up and down slices). Little Mac's neutral aerial. Luigi's down taunt and sourspotted Super Jump Punch. Mario's down aerial and Super Jump Punch (first five hits for both). Mr. Game & Watch's Judge #8. Pac-Man's down aerial (first three hits). Ryu's down tilt (tapped). Sheik's Vanish (reappearance hit). Shulk's Air Slash (first hit), along with the first hits of forward/up smash and up/down aerials. Wario's late dash attack. Zero Suit Samus's Paralyzer. No knockback From Melee onward, there are certain attacks that deal zero knockback, causing damage as usual but not flinching, meaning that the hit character can still perform any actions while being attacked. Most attacks with no knockback can rack up damage quickly, as they can hit foes repeatedly without launching them away from their range; other attacks that do cause knockback have hitboxes with no knockback in the middle of them for a similar purpose, an example being Roy's Blazer in Melee. These moves can also be used to "steal" KOs from opponents in free for all battles, as while they do not cause knockback, they will take ownership of the KO on an already fatally struck opponent. Fox's Blaster is the most well known example of an attack with no knockback. Due to the fact that it does not deal knockback, it will not interrupt an opponent's moves or force them out of a punishable state such as being asleep or being stuck in the ending lag of a missed Rest. Idle characters in Brawl will also turn around if they are repeatedly struck with moves that deal no knockback, which is noticeable with Fox's Blaster. In Melee, phantom hits damage foes, but without any knockback. It is also possible for any character to receive no knockback from attacks by certain factors, such as by being giant and metal simultaneously on a low damage ratio battle, and as mentioned above, armor will prevent characters from taking knockback while active. List of moves with no knockback Fox's Blaster shots in both his neutral special and throws (except his forward throw). Togepi's Leech Seed. The flower status. The first hit of Mario Tornado and Dr. Tornado in Melee. The middle hits of Roy's Blazer in Melee. The "crush" of Master Hand and Crazy Hand during their grab attacks in Melee. Charizard's forward air in Brawl (hitboxes furthest away from Charizard). Snake's Hand Grenades (when striking the opponent without exploding). Olimar's antenna during his jab and down tilt in Brawl. Amaranthine gas in The Subspace Emissary. Some consecutive-hitting attacks used by bosses (such as Rayquaza's Thunder). Mario's and Dr. Mario's Capes have similar properties, except that they use the reverse effect. Bowser's Fire Breath (Smash 4 only; hitboxes furthest away from Bowser). Heavenly Light, both as one of Palutena's special moves and as a power in Smash Run. All hits of Mega Man's up air except the first. Some of the food in Mr. Game & Watch's Short-Order Chef will not deal any knockback. Hitting a 1 with Mr. Game & Watch's Judge. Mii Gunner's Laser Blaze. Bayonetta's Bullet Arts at anywhere except point-blank range. Weight independent knockback Exclusive to Smash 4 (and throws only in Melee), certain moves are coded to ignore the target's weight when inflicting knockback, instead using a set value of 100, and also ignore vertical knockback alteration in accordance to the target's gravity. Some known examples of such moves are Bayonetta's Heel Slide, After Burner Kick and Witch Twist, as well as Cloud's Finishing Touch. Due to this property, the former character's moves can allow for combos on the entire cast with relatively little effort, which is further supplemented by After Burner Kick and the second Witch Twist ignoring DI, meaning that the only factor to differentiate knockback between characters is their falling speed. In the latter character's case, this similarly means only falling speed and DI can determine how long a character can survive, leading to Bowser getting KO'd noticeably earlier than Fox despite the latter being much lighter. Knockback stacking Knockback stacking is the means by which the game applies knockback to a character who has already been sent flying. The new knockback will sometimes replace the old knockback entirely, sometimes have no effect at all, and sometimes a merge will be performed between the two velocities. This has a large effect on combos, as the character being comboed will often have already been struck when another hit lands. In Melee In Melee, the method of knockback stacking used varies based on how many frames separate the first and second hit in addition to the relative angle between the two knockback directions. When the two hits are separated by fewer than 10 frames, the second hit's knockback always replaces the first's. This prevents attacks that hit repeatedly from accelerating the character that they hit with each strike, which would be the case were they added. This can also lead to some interesting scenarios that allow strong hits to be canceled into weaker ones, although this is mostly prevalent in team battles and with certain items. If the two hits are separated by 10 or more frames, the knockback is either set to the stronger value or the two are merged. The relative angle between the two hits' launch angles comes into play here: if the angle is large enough (meaning the hits are in opposite directions), then the two hits are merged via vector addition. However, if the relative angle is small (meaning the hits are in the same direction) the stronger hit is used and entirely replaces the weaker one. Since merging occurs when the hits are in opposite directions, merged knockbacks may be in a direction distinct from either of the previous two. For example, if a character is struck up and right by a strong hit and then up and left by an equally strong hit more than ten frames later, the character will be sent straight up (as the horizontal values cancel out and the vertical ones stack). This often leads to there being residual knockback from a previous hit in a combo which must be taken into account when trying to follow up. In addition, hitstun duration is always refreshed by the second hit regardless of the time and angle between them, and the amount of hitstun applied is the amount that would be applied if the opponent had not already been hit. For example, the additional knockback put on the opponent from any merging does not factor in to the equation used to calculate the amount of hitstun that should be put on the opponent. In Brawl and Smash 4 In Brawl and Smash 4, the second hit usually completely replaces the first hit's trajectory and knockback, but if the first hit is much stronger, its direction and knockback are retained with the second hit having no effect on them, giving the impression of no knockback. In Smash 4, an example of the latter case is Mega Man's neutral aerial: the Mega Buster itself deals high knockback while its shot deals very minimal of such, and should both connect, the former's knockback will be kept even if the shot hits a few frames afterwards. Unlike in Melee, no merging is ever performed in Brawl, however it does appear to be present in SSB4, although its exact functionality is unknown. Knockback chart The following is a chart demonstrating how much knockback each character sustains in Brawl. While weight is the primary attribute for determining how much knockback a character sustains, there are other attributes that factor in, such as a character's gravity. This results in some characters sustaining more knockback than lighter characters. The knockback value shown is how much knockback a character sustains when hit with Marth's Critical Hit at 0%, arranged from least knockback sustained to most knockback sustained. Rank Character Knockback sustained Velocity applied 1 Bowser 490.8 14724 2 Donkey Kong 494.667 14840 3 Snake 499.367 14981 4 King Dedede 501.4 15042 5 Charizard 504.667 15140 6 Samus 505.333 15160 7 Ganondorf 508.467 15254 8 Yoshi 508.7 15261 9 R.O.B. 509.533 15286 10 Wario 509.867 15296 11 Ike 513.3 15399 12 Link 515.633 15469 13 Captain Falcon 517.133 15514 14 Lucario 520.033 15601 15 Ivysaur 520.833 15625 16 Mario 525.1 15753 17 Wolf 525.7 15771 18 Luigi 525.9 15777 19 Sonic 531.9 15957 20 Ness 532.367 15971 21 Pit 532.8 15984 22 Lucas 534.4 16032 23 Toon Link 536.2 16086 24 Diddy Kong 536.6 16098 25 Ice Climbers 536.967 16109 26 Peach 539.533 16186 27 Marth 546 16380 28 Zelda 550.467 16514 29 Olimar 556.267 16688 30 Sheik 558.5 16755 31 Zero Suit Samus 561.567 16847 32 Falco 561.9 16857 33 Kirby 565.5 16965 34 Pikachu 566 16980 35 Meta Knight 566.933 17008 36 Fox 573.367 17201 37 Mr. Game & Watch 574.133 17224 38 Squirtle 577.567 17327 39 Jigglypuff 589.1 17673 Trivia SSB, Melee and Brawl have a knockback cap of 2500 (or 83 1/3 units per frame), fast enough to move from the edge of Battlefield to the center in less than one frame. Smash 4 has a knockback cap for vertical attacks causing Star KOs and Screen KOs to not occur if they surpass it (that is, if they inflict too much knockback). Because of this vertical knockback cap in SSB4, if a fighter were to have an incredibly high fall speed and gravity, it would be impossible to KO them vertically (unless using an item such as a Beetle), even with an incredibly high amount of knockback. This can be accomplished under very specific conditions in the unmodified game. References External links A list of all moves with set knockback in SSB outside of items and get up attacks. An online knockback calculator for Smash 4, including a visualizer for launch trajectory and frame data stored for every character. A link showing the minimum percentage needed for Falcon Punch to KO Mario from the center of Final Destination.

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