Leap+of+Faith

Names: Olivia and Billy

Lab Goal: To determine if the "leap of faith" in the game //Assassin's Creed,// in which the main character jumps off a building into a haystack, is physically survivable.

Procedure:

1. Research the mass of the jumper (main character). 2. Research the initial height of the tallest building in the game (Church in Acre). 3. Determine height and mass of the haystack. 4. Determine an initial horizontal velocity. 5. Do a time trial by recording the time of the fall in the video and finding the average time. 6. Figure out how to tell if the fall is possible to survive using the data gathered above using momentum and impulse.

__Video footage of the jump:__ []

__Gathered Data:__ Height( jumper ): 6ft Mass: 190 lbs--> 86.18kg Distance: 82.37 meters Time: 5.25 seconds

__Calculations:__
 * # || Time (Seconds) ||
 * 1 || 5.36 ||
 * 2 || 5.18 ||
 * 3 || 5.39 ||
 * 4 || 5.27 ||
 * 5 || 5.07 ||
 * Average || 5.25 ||

vf^2 =vi^2 + 2ad vf^2 =0 + 2(9.8)(82.37) vf^2 =1614.45
 * vf =40.18 m/s**

Force = ma F = 86.18 (9.8)
 * F = 844.564 N**

momentum = mass x velocity p = 86.18(40.18)
 * p = 3462.71 kgxm/**s

Impulse = force x displacement p = 844.564(0.05)
 * p = 42.23 Nxs**
 * IMPULSE DOES NOT EQUAL MOMENTUM**

momentum = impulse mv = ft 3462.71 = f (0.05) 69,254.2 / 844.564 = 82 times his weight (The jumper lands onto something like this, in the picture to the left. It is roughly 2 meters wide by a meter and a half tall.)
 * Force = 69,254.2 N**

The force of the impact would be approximately **82** times the jumper's ( Altair) weight, which is not survivable. The haystack would have to be **15,580** pounds to cancel out the force of the fall. __Conclusion:__ Based on our calculations, it would //not// be possible for a man to survive the fall Altair makes in //Assassin's Creed// into a haystack. To determine this, we first selected the hightest point in the game, which is the leap of faith Altair takes from the top of the church in Acre, which can be seen in the video footage above. We figured that to determine if the fall is possible to survive, we might as well pick the highest location to test, which was at a height of 82.37 meters. We then timed the fall taken in the video clip and used the time (5.25 seconds) to determine the velocity at the time of impact, which was 40.18 m/s. We did this because we needed the velocity to calculate the momentum of Altair's fall, and then to calculate the impulse. Ideally, the impulse was supposed to be equal to the change in momentum. However, it was not. The force we calculate using the f=ma equation was 844.564 N, which is equal to Altair's weight. But when we solved for the needed force of the impulse to make it equal to the momentum, we got a force of 69,254.20. We divided the actual force solved for by the force of his weight and found out that it was equal to 82 times his weight. This means that when he hits the haystack, he would experience an impact of 82 times his own weight, which is not survivable. In order for the haystack to be the right weight, it would need to be 82 times its current size, or 15,580lbs (7,066.76g). So, due to the ridiculously small size and height of the haystack, as well as the momentum of Altair's fall, we can safely say that, outside of a video game, this type of fall would inevitably kill you. A leap of faith needs more than faith to keep you alive.