Mission Impossible III
The First scene is when Ethan needs to swing from one skyscraper to the next. A few things stand out to me in this scene, the first is that the time the rope catches Ethan he is already at a point that is equal in altitude than his destination, the second is that when the rope catches, Ethan loses a lot of his energy and you can tell because his speed decreases significantly, and the third is that Ethan is producing massive amounts of drag. So, with all of this in place, can he make the jump? First off, lets give some context:
- Initial Building: 226 m tall
- Final Building: 162 m tall
- Distance Between: 47.55 m across
To make it across such a wide gap would mean that he would need to be going at an incredible speed, but if he is going at such high speeds, there must be really high drag forces pushing him back and to overcome that drag, he needs to go even faster. Based on the diagram he is trying to reach the same altitude as his starting point, so he needs all the extra energy from the drop as he can, but so much of it is lost when the rope catches, along with all the drag. At this point most of the energy needed to make the swing is lost, so I just do not think that the physics are in order in this scene. It is not possible to make the swing and reach the other building.
P.S. Comparing the scene with the diagram above, the point where he catches the rope in the scene looks to be about 15-20 degrees higher than in the diagram, allowing him to have much more energy than he should, giving the effect that the physics actually worked.
The last scene to analyze is when Ethan jumps across this bridge gap and should he be able to. During this scene we can tell that the jump is a running jump, so we can use the world record male long jump and scale it back a little bit since Ethan is a male with very above average physical abilities. The world record male long jump distance is 29'4.25" or 8.95 m, so let's assume that Ethan's long jump distance is 22' or 6.71 m. Next we use the same technique as before to measure distance using Tom's height which gives us approx. 20' or 6.10 m. Given these two values, it seems entirely possible for him to make the jump.
I rate the physics in Mission Impossible III PGP-13
I like that you have included relevant images and clips from your movie scenes -- makes the blog much more interesting. We'll reanalyze the building swing scene later in the semester, and I think you'll be surprised to learn that the physics is rather simple and the scene may actually be possible. With regards to the running scene, I think the more relevant point is that he covers a mile in less than 2 minutes of movie screen time, so he broke the world record by much more than 30 seconds. Thanks for remembering to rate the movie physics.
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