1.) Take a helicopter with both of you inside.
2.) Fly to the highest possible height in the game.
3.) The Rotterdam Tower is about this height give or take 10m (Assumption: as we jumped out over water, this cancels out the effect of the spire we cannot reach in the heli; but the added fall into water is a few metres farther than a fall onto the ground).
4.) I jump out of the helicopter and the moment I exit I start the stopwatch.
5.) When I hit the water I stop the stopwatch.
6.) The time read 9.552 seconds - which is about 10 seconds to 1 significant figure (given the gross inaccuracies of this experiment).
7.) We could just calculate the distance here, but to be more accurate we must factor in terminal velocity (which is around 120mph or 54m/s).
8.) Thus, when at terminal velocity (54m/s) we can use v=u+a(t1) to work out what t is (v is final speed, u is initial speed [0 as I just jumped out of the heli], a is acceleration (under gravity .'. approximately 9.8 m/s^2).
10.) .'. the distance fallen in the first 5.5 seconds is (s1)=ut+0.5a(t1)^2 (s is distance travelled/fallen)
12.) (t2)=10-(t1) .'. (t2)=4.5s
13.) Now acceleration is 0 as we are at terminal velocity (constant speed of 54m/s)
14.) (s2)=ut+0.5at^2 .'. (s2)=243m
15.) .'. total distance fallen = 243 + 148 = 391m which is 390m to 2 significant figures.
The actual height of the Empire state building to its roof is around 380m. The height to the spire (which we tried to reach but could not factor in properly) is around 450m. So, since my height is out from the actual roof-height by less than 3% (within a 5% significance level) I can say R* did a good job in modelling the Rotterdam Tower on the Empire State Building.
Man - I have a some wasted hours
Edited by Derelict Frog, 11 October 2009 - 01:30 PM.