Mission Impossible III

This was the first Mission Impossible movie I have actually sat down and watched. Overall I was entertained the whole time and enjoyed the over-the-top action stunts. While these stunts were exciting to watch, there is always the question of if they are possible or realistic.

The first scene I will be analyzing is the scene where Ethan Hunt goes to save his wife and calls Benji to find out where she is. Benji tracks her location to learn that she is in a building 1 mile away, or about 1609 meters. The time it takes Ethan to get there is roughly 110 seconds. This would mean Ethan would have had to been running at an astounding 14.62m/s, or 33mph. This is an absurd measurement due to the fact that Olympic runner, Usian Bolt, who is considered the fastest man on Earth, peaks at around 28 mph.

The next scene I will be analyzing is the moment when secret agent, Ethan Hunt, decides the only way to retrieve the "rabbits foot", is to swing across from one skyscraper to another in Shanghai. First we need to find out the heights of the two buildings. Thanks to the script in the movie, we are given those heights: the first building being 266m and the second building being 162m. We are also given the distance between the two buildings which is 47.5m. Mentioned in the last problem, Ethan ran a ridiculous speed at 33mph. Since that measurement is completely unrealistic, I decided to make an assumption of Ethan's running speed. The fastest recorded human running speed is 28mph, or 12.5m/s. Since Ethan is not an Olympic runner, I found it appropriate to assume that his speed is around 6m/s. Because Ethan is in free-fall when he jumps, his acceleration downward, due to gravity, is -9.8 meters per second squared. The time it takes him from jump to landing is about 16 seconds (after trimming off slow motion time). The remaining factors that need to be known is the length of the cable and the angle of jump. With all of these quantities, and the exclusion of wind resistance cable strength, it is then possible to figure out the impossible.

The last scene I will be analyzing is the scene on the bridge where Ethan Hunt jumps a gap in the bridge created by an explosion. We know Tom Cruise's( Ethan Hunt) height is 5'7''. We can estimate the distance of the gap by its relation to the blown up Cadillac Escallade in the background. The gap seemed about the same distance as the length of the car which is about 17ft, or 5.1m. The average male vertical jump height is 17 in, or 431.8mm. As estimated in the last problem, the realistic speed of Ethan Hunt is around 6m/s. Since the platform he jumped off of is level with the platform he landed on, the only factor left to solve is the angle of his jump.

Comments

  1. There were quantities you correctly identified that would need to be known to answer your questions, yet you didn’t estimate those quantities (e.g. length of cable and angle of his jump). Since that was the purpose of the exercise, I have to mark you down for that.

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