Saturday, September 5, 2015

Mission Impossible 3

Mission: Impossible 3

A staple of action movies in film, the mission impossible movies are over the top and action packed. In the third movie, Tom Cruise starts off retiring from field work to raise a family with his new faience. But when one of his fellow agents is captured, he takes one last mission to rescue her. First amazing feat, Tom Cruise takes the captured agent and jumps out of the third story of a factory to land on top of a truck, which promptly speeds off. Would it be possible to do this without getting injured?
Well, it's pretty clear that this is a free fall problem.

So we need acceleration due to gravity, distance, and time to see how fast he was going when he hit the ground. 

A: -9.8 m/s^2
D: each story is 3 meters, and it was the third stories, so 9 meters.
Time: It took around 3 seconds for him to hit the ground
Initial Velocity: 0
Final Velocity: ?
Vf^2 = Vi^2 + 2*a*d

Next, while tom Cruise is attempting to take the bad guy in, and an ambush comes to stop them, Tom Cruise has to jump across a large gap in the highway to reach the bad guy. So this is a 2D kinematic problem.

Half is a free fall, the other is a distance problem. 

A: -9.8 m/s^2
D: the gap is about one and a half cars, so around 6.75 meters
Vi: the average human sprint is 7.10 m/s
Vf: ?
T: he was air born for about 1.5 seconds

And the second half: 
A: ?
D: average jump height is 53.34 cm
Vi: the average human sprints at 7.10 m/s
Vf: 0 m/s
T: he was in the air for about 1.5 seconds.

Finally, Tom Cruise is attempting to sneak into the Vatican city by rapelling down a wall. Another free fall problem, though the question is, how fast was he falling?

A: -9.8 m/s^2
D: 16.55 m
Vi: 0 m/s
Vf: ?
T: 4 seconds
Formula: Vf = Vi + a*t
Vf = 39.2 m/s

1 comment:

  1. OK, a few things I need to point out. First, the assignment asked everyone to analyze the scene in Shanghai of Ethan swinging from one building to another, which you didn't. The other is just to say that, although you were not required to, since you obviously know how to solve these types of problems, I would have liked to see you do that. Incidentally, on your last scene, if Ethan really was in free fall for 4 seconds, he would have traveled MUCH further than 16.55 m.