Acceleration (加速, Kasoku) is the first episode of the Accel World Anime. It aired April 6th 2012 in Japan.
While Haruyuki Arita is in a class, he recieves an email from Araya, one of the bullies at his school, telling him to get his lunch, and meet him on the school roof at lunch. After Haruyuki complied to the request, he then went to male bathroom to vent his frustration. Afterwards, he locked himself in a room inside the bathroom and enters the school's virtual world to play virtual squash, where he always gets high scores. Haru's childhood friend, Chiyuri Kurashima, found him when he is playing it and sees his score, telling him that he's an idiot for wasting time in the game so much, and then suggesting that he link out so, to which he declines as Chiyu then links out. As Haru is about to play another game, he is Forcefully De-Linked by Chiyu, who somehow got into the locked door and punched him in the head. After they got out of the bathroom and walking in the hallway, Haru told Chiyu about the bullies. Chiyu then suggests that he should report the bullying to the school to get them kicked out for some time, but Haru decline that idea because it will make the situation worse. After that, she invites him to have lunch with her to let him forget the problem, but he refuses her, taking it as pity, and pushes her away causing the basket full of sandwiches that she was holding to fall onto the floor spilling the contents. As Haru runs away, he turns to see Chiyu crying, making him feel guilty.
As he returns to play squash again, he discovers his high scores has been beaten by Kuroyukihime, the popular Student Council Vice-President who invites him for lunch tomorrow to "change his reality". The next day at lunch, Haruyuki appears at the designated area, where 1st year students normally aren't allowed. As Haruyuki is looking around, Megumi notices him and asks if he needs help. Kuroyukihime then comments, saying that she asked him to be there. Kuroyukihime then introduces Haru to Brain Burst, a program that allows users to "accelerate" their brain waves to make time appear to stand still. Immediately after the Brain Burst program finish its install, Araya and his gang arrives, scolding Haru for not bringing lunch to them, to which Kuroyukihime then provokes hiHaso that Araya hit Haruyuki. Before Araya hits Haruyuki, Kuroyukihime tell him to say "Burst Link" which logs him into Brain Burst. While in Accelerating, Kuroyukihime explains that they are in a 3-Dimensional Replica of the real world, which is maAccbased on data from many Social Cameras in the area, she then advises Haru to let Araya punch him so that he can get caught out and expelled. She instruct him to roll with the punch so that the school's cameras and nearby witnesses will catch Araya violently attacking them, ending Haru's bullying. Haru agrees to do as she instructs which ends with Araya and his gang detained by security.
After school, as Haruyuki and Chiyuri heads home, they meet up with Takumu Mayuzumi, Haru's other childhood friend and Chiyuri's boyfriend. After Takumu comments on Chiyu's sandwiches, Haru runs away when he thinks Chiyuri told Takumu about the bullying. Later that night, Haru has a nightmare of being bullied and Chiyuri and Takumu pitying him which he wishes to fly free from his torment before waking up. After waking up, he is preparing for school and despite being told by Kuroyukihime not to go online the day before, Haru forgets and goes online to get his pocket money, and steps out of his home where he is suddenly transported into a virtual world with a new robotic looking avatar body, which it is named «Silver Crow».