Revealing mistake: During the scene where the T-1000 is in a truck chasing John Connor on a motorcycle, take a good look at the actual shot of it driving off of the bridge. The street sign is correct, but everything else is backwards! This is because they shot it backwards and flipped the shot during post production. Since the sign was so obvious, it was digitally reversed. However, a good look at the truck's name on the grill will show the shot is backwards. (00:33:50)
Visible crew/equipment: In the scene where the Terminator is stood at the broken window of the Cyberdyne building, just after he has shot the police cars with the Gatling gun, he uses a grenade launcher to fire a grenade through the side window of a police car below. Look carefully and you will see a rectangular package, presumably a small charge fitted by the special effects team, on this side window exactly where the window smashes to simulate the grenade smashing the glass a split second before exploding inside the car. (01:48:30)
Other mistake: In the tanker truck/pick-up truck chase, after the tanker rams the pick-up and destroys the wooden shelter in the bed, you can see the Terminator turn the steering wheel right but the truck turns left instead. You have to look very closely to see this.
Continuity mistake: After the T1000 performs the bike jump to the helicopter he tells the pilot to get out. Watch as he jumps out, the door shuts properly, it then cuts back inside where the T1000 proceeds to close the door for a second time. (01:56:45)
Audio problem: In the scene with John and his friend in the garage when his adopted mom is telling him to clean his room and he is revving his dirtbike, if you look closely, he has the throttle wide open, but the motor winds down. (00:12:15)
Audio problem: John Connor's bike is an XR-100, it is a 4 stroke engine. In the movie they dub in the sound of a 2 stroke. It is a quiet little engine so that is why they probably dubbed in the sound. (00:32:00)
Revealing mistake: When the Terminator is in the elevator and the T-1000 forces the door open, the Terminator shoots the T-1000 in the head. If you look closely you can see that the T-1000's head is already split down the middle. (00:59:50)
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)
Continuity mistake: When the T-1000 is entering Dyson's house, he hears on the police radio that Sarah Connor is at "2144 Kramer." Later, just as the police show up at Cyberdyne's offices, the voice over the radio gives the address as "2111 Kramer." (01:45:25 - 01:49:50)
Continuity mistake: When the Terminator saves John on his bike in the alleyway and the truck explodes in a ball of flames, the Terminator takes his shotgun out and cocks it to aim at an approaching object. After realising it is a flaming tire, he leaves. However, after stopping to relate his mission to John, the Terminator ejects the fully loaded cartridge (which sounds suspiciously hollow when it hits the ground) and reloads again. (00:37:35)
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)
Continuity mistake: In the Steel Mill scene, Sara has 8 shells. She shoots the T-1000 once (7 left), then she drops an unused shell (6 left), then reloads (5 left in theory, but there are now 6 on top of the gun). Later she loads the shotgun with the other 5 shells (one's disappeared, but it's back to what there should be) and recocks the gun, ejecting the other good shell. Later, she nearly kills the T-1000 by shooting him with 7 shells. (02:10:20)
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)
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: 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 scene where the Terminator has grabbed John and won't let him go until he tells him to, the Terminator almost shoots two guys who come to help. John tells him to put the gun down, which he does. Now, when John picks up the gun to hand it back to the Terminator, it goes from being cocked (the hammer pulled back) when it is in John's hand, to uncocked when Arnie takes it, to cocked again when he puts it in his belt. (00:48:50)
Continuity mistake: The tanker truck is shown having two headlight lenses on each side on the front. During most of the chase the inside lamp is lit, but when Arnold shoots it with the grenade launcher the outside lens is lit. The next shot shows the inside lens lit again, but then when Arnold climbs on the hood of the tanker to fire through the windshield the outside lamp is again lit. (02:06:20)
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)
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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