[Rq-rules] Re: Knockback and falling damage.

[Simon Phipp]

  More silliness with maths.
   
  To calculate the final velocity (v) when falling a certain distance (s):
   
  Using v^2 = u^2 + 2as, we have
  v^2 = 0 + 20s (u=0m a=10)
  v=sqrt (20s)
   
  With the previously-calculated formulae for horizontal distance/velocity, we can work out the horizontal distances travelled for a certain starting height. All distances are in metres, all velocities in m/s.
   
  Plugging these into an Excel spreadsheet gives the following handy table:
   
                                          Horizontal Horizontal
Distance Equivalent           Distance   Distance
Travelled Velocity Damage (0.44)        (0.6)
1              4.47    No effect     2            3
3              7.75       1D6         3            5
6             10.95      2D6         5            7
9             13.42      3D6         6            8
12            15.49     4D6         7            9
15            17.32     5D6         8          10
18            18.97     6D6         8          11
21            20.49     7D6         9          12
24            21.91     8D6       10          13
27            23.24     9D6       10          14
30            24.49    10D6      11          15
33            25.69    11D6      11          15
36            26.83    12D6      12          16
39            27.93    13D6      12          17
42            28.98    14D6      13          17
45            30         15D6      13         18
48            30.98    16D6      14          19
51            31.94    17D6      14          19
54            32.86    18D6      14          20
57            33.76    19D6      15          20
60            34.64    20D6      15          21
63            35.5      21D6      16          21
66            36.33    22D6      16          22
69            37.15    23D6      16          22
72            37.95    24D6      17          23
75            38.73    25D6      17          23
78            39.5      26D6      17          24
81            40.25    27D6      18          24
84            40.99    28D6      18          25
87            41.71    29D6      18          25
90            42.43    30D6      19          25
93            43.13    31D6      19          26
96            43.82    32D6      19          26
99            44.5      33D6      20          27
102          45.17    34D6      20          27

  So, you are whacked by a giant on a flat trajectory, 1m from the ground and travel 10m. This does 8D6 damage. The giant hits you a little bit higher for the same distance and the wall you hit does 5D6 damage.
   
  It's inadvisable to be hit for more than 20m or so, as it may damage your health.
   
  See what madness maths leads you into? It's best to forget about it and use a simple, incorrect but reasonable-looking table.
   
  See Ya
   
  Simon
   
   
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