Visible crew/equipment: [Special Edition only] Shortly after the Terminator shoots up the police cars outside Cyberdyne, the SWAT team enters the building through the front glass doors. When the shot changes from outside the building to inside, the camera dolly and cameraman are visible in the reflection on the glass doors and windows. (01:54:30)
Revealing mistake: After the T-1000 finishes battering the Terminator with the beam, the Terminator drops to the floor and starts dragging himself. When you see the stump of his left arm move forward then backwards, the string moving the stump is visible. (02:18:15)
Visible crew/equipment: After the tow truck plunges into the canal and John takes off on his bike, there's a shot starting low on the truck and craning up to windshield-level. You can see a reflection in the truck's paint job, next to the grille, of a large light and a crewmember. (00:34:05)
Revealing mistake: After the T-1000 steals the truck and throws the driver out there is a big action sequence where the truck hits a lot of cars. In one scene the truck hits 2 cars which were both already stopped across the road front bumper to front bumper, blocking the road in the process, making it impossible for the truck to miss them. (00:33:15)
Revealing mistake: Just before the T-1000 crashes the truck into the bridge and the following shot you can see briefly that it is a dummy in the drivers wheel. The most noticeable difference is the dummy has black hair compared to the T-1000's brown hair. (00:32:55)
Revealing mistake: When the T-1000 is chasing John in the transport truck cab, the sparks always appear before the truck actually hits the walls. (02:01:20)
Continuity mistake: In the shot of the T-800 lifting John off of his bike, the truck's left headlight is missing, but after that it is there. (00:37:30)
Revealing mistake: In the beginning of the film, when the biker is thrown onto the stove you can clearly see the valves where the steam is coming from - it's NOT from his hands. (00:08:00)
Continuity mistake: During the chase scene after the T-1000 commandeers the tow truck, the shadows are inconsistent from shot to shot. Understandable, as each shot was made at different times during the day, but still noticeable. (00:32:00)
Revealing mistake: In the bar fight scene the Terminator gets stabbed by one of the bikers - if you watch carefully you see the rubber knife bend in one shot. This has been digitally fixed in the 2017 Blu-ray/4K release. (00:08:10)
Revealing mistake: When the two Terminators first fight in the steel mill, in close - up shots the T-1000 is played by Robert Patrick, but in medium shots it's a stunt double who looks nothing like Robert Patrick. (02:13:55)
Continuity mistake: When John Connor holds the Terminator's jacket up to the light in the shed in Mexico it's full of holes. You see the back of it when they leave (to chase Sarah) and there are no holes. (01:30:25)
Visible crew/equipment: In the escape from the hospital where the car is driving fast in reverse, the stunt driver's head is visible sticking up from inside the trunk driving the car from the back. It's too far back to be John Connor's head. (01:02:05)
Revealing mistake: When Arnold begins to beat up and throw around the workers of the hospital, the African American worker is thrown into a window. If you look carefully you can see that the window he is thrown into is a different kind of glass than the other windows that surround it, indicating that this is not real glass. You can also see that none of the other window frames of glass on the inside of the corridor. There is just the metal frames covering the windows. In some shots later in the scene when the T-1000 is chasing them down the corridor you can see the bits of glass that were left over from before have disappeared. (01:01:05)
Visible crew/equipment: When the T-1000 is chasing John on his motorbike aboard the truck, as it is going to hit two cars in the traffic you can see in the shot from the truck's side the camera car used for the frontal shot on the background, and simultaneously, as the camera changes angle, you can see a camera protected in the box attached on the side of the truck used for the previous shot.
Continuity mistake: As the T-800 is weaving around the back of the semi-truck just before the end of the aqueduct chase, there is a panel of some sort dangling around the back along with the licence plate. From the far shots the licence plate is gone, and the panel is bolted on on. This changes about two times. (00:37:20)
Revealing mistake: Obvious stunt double for John Connor when he takes a wide berth from the street into the aqueduct. His hair, for example, is no longer across his forehead. (00:34:45)
Visible crew/equipment: In the Cyberdyne lobby when the Terminator walks towards the SWAT team, you can see unexploded squibs (pyrotechnics) in the wall behind him to his left (before the shooting starts). (01:58:40)
Visible crew/equipment: Camera lights are reflected in the glass door in the shot behind Dyson as Sarah Connor laser-scopes him. (01:36:00)
Answer: He didn't steal his clothes, but copied them. He can only copy things that he physically touches. He had to touch the cop to take on his look. Also since the cop was a witness to this ruthless killing machine, it needed to kill him to protect itself from being discovered too soon. The Terminator is an infiltration unit on an assassination mission to kill John Connor. As advanced as it is, it needs as little attention drawn to it as possible. Having the entire police force chasing him down would not be ideal for his goal to get Connor and would inevitably slow him down and risk allowing Connor a better chance of escape. The T 1000 also is an emotionless machine programmed by other machines that are intent on killing off all humans in the future. It doesn't value human life, and if anything has been programmed to regard them as a pest to be dealt with. The cop was a means to an ends and an obstacle to take out. As well, the cop did also posses a weapon, and was the T-1000's quickest way to get his hands on a gun.
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