given an acceleration of A per sec, what the equivalent accel per 60th of a second? i think its an integration...
A * (1/60)^2. So what Anthony said.
Using true values for gravity in a 2D game that must use physics
You have a math error. 9.81 m/s2 at 32 pixels/m and 60 frames/s is 0.0872 pixels/frame2, not 5.232.
i'm coming up with 0.005109375 pix / frame^2
9.81 m/s^2 / 32 pix / m = 0.3065625 pix / sec^2
0.3065625 pix / sec^2 / 60 frames / sec = 0.005109375 pix / frame^2.
however, pix/sec^2 / FPS != pix / frame ^2 as i recall. its not truly a linear relation as i recall. but linear is often an acceptable estimate.
pix/sec^2 / FPS = pix*frames/secs^3 ? no, that's not right... been too long since i did this stuff.
hmm, hitting intellectual thicket here, anyone have a machete handy?
given an acceleration of A per sec, what the equivalent accel per 60th of a second? i think its an integration...
You've got math errors too. Dimensional analysis is your friend.
m/s2 divided by pix/m produces a result in m2/s2pix - division by x is equivalent to multiplication by 1/x, so (m/s2)/(pix/m) is equivalent to (m/s2)*(m/pix). You want to multiply acceleration in m/s2 by the pix/m conversion.
Similarly, pix/s2 divided by frames/s produces a result in pix/(s*frame), which needs to by divided by frames/s again to produce an acceleration in pix/frame2.
Author
Sorry for the obvious error regarding mt (i mean m offcurse) and thank you Norman for the tips u gave me. I have to admit I get little bit lost on the discussion about acceleration. I understand I make stupid error about conversion so I must convert ((a*32)/fps)/fps to get the correct conversion as said Antony, right ?
...result in my object just disappear from screen in 2 seconds.
The problem isn't about physics, but about camera control and reaction times: as long as the player can somehow catch and recover the falling box it needs to remain on screen.
Three seconds of free fall, i.e. a comfortable margin above the stated 2 seconds, neglecting air resistance etc. because we are interested in the worst case, represent a drop of 0.5*9.81*3*3=44.145 m, rounded to 50m (also including 5m of box height); with a vertically fixed camera the lowest platform the box can fall from must be 50m above the bottom of the screen.
It seems an awful lot of space: clearly a camera that follows the falling box would be much more suitable than a fixed one, and platforming controls can be much tighter (e.g.0.5s or less to recover the falling box).
Author
So now as understand the conversion rate I have another problem, offcurse I was calculating wrong the movement of the box based on the gravity and that resulting on a offscreen in 2 seconds. Now my problem is that I try to get some numbers from my program while debugging but I'm not getting the numbers I was expecting to get.
My actual code look sorta like that in my main loop
if frame mod 60 == 0 {
show_debug_message("*frame* " + string(frame) +" y " + string_format(y,6,4) +" dist m " + string_format((y - starty) / 32,6,2) + " v m/s " + string_format(vely * 60 /32,6,4) + " v p/f " + string_format(vely,6,4));
}else{
show_debug_message(" frame " + string(frame) +" y " + string_format(y,6,4) +" dist m " + string_format((y - starty) / 32,6,2) + " v m/s " + string_format(vely * 60 /32,6,4) + " v p/f " + string_format(vely,6,4));
}
spd = sqrt(power(velx ,2)+power(vely ,2));
vely += g; // pixel per frames
y -= vely;
frame += 1;
where the variable values at the creation looks like
starty = 160;
g = -(9.8067 * 32) / 60 / 60;
frame = 0;
spd = 0;
vely = 0;
32 it's the pixel per meter ratio and 60 frames per seconds
on the execution of the code I got this results, as you see on the key frames ** I expect to get after 60 frames 4.90m as distance but instead I got 4.99m and same for the other frames, the velocity seems correct so not really know what's could be wrong, probably pixel convert not really good :/
*frame* 0 y 160.0000 dist m 0.00 v m/s 0.0000 v p/f 0.0000
frame 1 y 160.0872 dist m 0.00 v m/s -0.1634 v p/f -0.0872
frame 2 y 160.2615 dist m 0.01 v m/s -0.3269 v p/f -0.1743
frame 3 y 160.5230 dist m 0.02 v m/s -0.4903 v p/f -0.2615
frame 4 y 160.8717 dist m 0.03 v m/s -0.6538 v p/f -0.3487
frame 5 y 161.3076 dist m 0.04 v m/s -0.8172 v p/f -0.4359
frame 6 y 161.8306 dist m 0.06 v m/s -0.9807 v p/f -0.5230
frame 7 y 162.4408 dist m 0.08 v m/s -1.1441 v p/f -0.6102
frame 8 y 163.1382 dist m 0.10 v m/s -1.3076 v p/f -0.6974
frame 9 y 163.9227 dist m 0.12 v m/s -1.4710 v p/f -0.7845
frame 10 y 164.7944 dist m 0.15 v m/s -1.6344 v p/f -0.8717
frame 11 y 165.7533 dist m 0.18 v m/s -1.7979 v p/f -0.9589
frame 12 y 166.7993 dist m 0.21 v m/s -1.9613 v p/f -1.0460
frame 13 y 167.9325 dist m 0.25 v m/s -2.1248 v p/f -1.1332
frame 14 y 169.1529 dist m 0.29 v m/s -2.2882 v p/f -1.2204
frame 15 y 170.4605 dist m 0.33 v m/s -2.4517 v p/f -1.3076
frame 16 y 171.8552 dist m 0.37 v m/s -2.6151 v p/f -1.3947
frame 17 y 173.3371 dist m 0.42 v m/s -2.7786 v p/f -1.4819
frame 18 y 174.9062 dist m 0.47 v m/s -2.9420 v p/f -1.5691
frame 19 y 176.5624 dist m 0.52 v m/s -3.1055 v p/f -1.6562
frame 20 y 178.3058 dist m 0.57 v m/s -3.2689 v p/f -1.7434
frame 21 y 180.1364 dist m 0.63 v m/s -3.4323 v p/f -1.8306
frame 22 y 182.0542 dist m 0.69 v m/s -3.5958 v p/f -1.9178
frame 23 y 184.0591 dist m 0.75 v m/s -3.7592 v p/f -2.0049
frame 24 y 186.1512 dist m 0.82 v m/s -3.9227 v p/f -2.0921
frame 25 y 188.3305 dist m 0.89 v m/s -4.0861 v p/f -2.1793
frame 26 y 190.5969 dist m 0.96 v m/s -4.2496 v p/f -2.2664
frame 27 y 192.9505 dist m 1.03 v m/s -4.4130 v p/f -2.3536
frame 28 y 195.3913 dist m 1.11 v m/s -4.5765 v p/f -2.4408
frame 29 y 197.9193 dist m 1.18 v m/s -4.7399 v p/f -2.5279
frame 30 y 200.5344 dist m 1.27 v m/s -4.9034 v p/f -2.6151
frame 31 y 203.2367 dist m 1.35 v m/s -5.0668 v p/f -2.7023
frame 32 y 206.0261 dist m 1.44 v m/s -5.2302 v p/f -2.7895
frame 33 y 208.9028 dist m 1.53 v m/s -5.3937 v p/f -2.8766
frame 34 y 211.8666 dist m 1.62 v m/s -5.5571 v p/f -2.9638
frame 35 y 214.9175 dist m 1.72 v m/s -5.7206 v p/f -3.0510
frame 36 y 218.0557 dist m 1.81 v m/s -5.8840 v p/f -3.1381
frame 37 y 221.2810 dist m 1.92 v m/s -6.0475 v p/f -3.2253
frame 38 y 224.5935 dist m 2.02 v m/s -6.2109 v p/f -3.3125
frame 39 y 227.9931 dist m 2.12 v m/s -6.3744 v p/f -3.3997
frame 40 y 231.4800 dist m 2.23 v m/s -6.5378 v p/f -3.4868
frame 41 y 235.0540 dist m 2.35 v m/s -6.7012 v p/f -3.5740
frame 42 y 238.7151 dist m 2.46 v m/s -6.8647 v p/f -3.6612
frame 43 y 242.4635 dist m 2.58 v m/s -7.0281 v p/f -3.7483
frame 44 y 246.2990 dist m 2.70 v m/s -7.1916 v p/f -3.8355
frame 45 y 250.2216 dist m 2.82 v m/s -7.3550 v p/f -3.9227
frame 46 y 254.2315 dist m 2.94 v m/s -7.5185 v p/f -4.0099
frame 47 y 258.3285 dist m 3.07 v m/s -7.6819 v p/f -4.0970
frame 48 y 262.5127 dist m 3.20 v m/s -7.8454 v p/f -4.1842
frame 49 y 266.7841 dist m 3.34 v m/s -8.0088 v p/f -4.2714
frame 50 y 271.1426 dist m 3.47 v m/s -8.1723 v p/f -4.3585
frame 51 y 275.5883 dist m 3.61 v m/s -8.3357 v p/f -4.4457
frame 52 y 280.1212 dist m 3.75 v m/s -8.4991 v p/f -4.5329
frame 53 y 284.7412 dist m 3.90 v m/s -8.6626 v p/f -4.6200
frame 54 y 289.4485 dist m 4.05 v m/s -8.8260 v p/f -4.7072
frame 55 y 294.2428 dist m 4.20 v m/s -8.9895 v p/f -4.7944
frame 56 y 299.1244 dist m 4.35 v m/s -9.1529 v p/f -4.8816
frame 57 y 304.0931 dist m 4.50 v m/s -9.3164 v p/f -4.9687
frame 58 y 309.1490 dist m 4.66 v m/s -9.4798 v p/f -5.0559
frame 59 y 314.2921 dist m 4.82 v m/s -9.6433 v p/f -5.1431
*frame* 60 y 319.5223 dist m 4.99 v m/s -9.8067 v p/f -5.2302
frame 61 y 324.8398 dist m 5.15 v m/s -9.9701 v p/f -5.3174
frame 62 y 330.2443 dist m 5.32 v m/s -10.1336 v p/f -5.4046
frame 63 y 335.7361 dist m 5.49 v m/s -10.2970 v p/f -5.4918
frame 64 y 341.3150 dist m 5.67 v m/s -10.4605 v p/f -5.5789
frame 65 y 346.9811 dist m 5.84 v m/s -10.6239 v p/f -5.6661
frame 66 y 352.7344 dist m 6.02 v m/s -10.7874 v p/f -5.7533
frame 67 y 358.5748 dist m 6.21 v m/s -10.9508 v p/f -5.8404
frame 68 y 364.5024 dist m 6.39 v m/s -11.1143 v p/f -5.9276
frame 69 y 370.5172 dist m 6.58 v m/s -11.2777 v p/f -6.0148
frame 70 y 376.6191 dist m 6.77 v m/s -11.4411 v p/f -6.1019
frame 71 y 382.8083 dist m 6.96 v m/s -11.6046 v p/f -6.1891
frame 72 y 389.0845 dist m 7.16 v m/s -11.7680 v p/f -6.2763
frame 73 y 395.4480 dist m 7.36 v m/s -11.9315 v p/f -6.3635
frame 74 y 401.8986 dist m 7.56 v m/s -12.0949 v p/f -6.4506
frame 75 y 408.4364 dist m 7.76 v m/s -12.2584 v p/f -6.5378
frame 76 y 415.0614 dist m 7.97 v m/s -12.4218 v p/f -6.6250
frame 77 y 421.7735 dist m 8.18 v m/s -12.5853 v p/f -6.7121
frame 78 y 428.5728 dist m 8.39 v m/s -12.7487 v p/f -6.7993
frame 79 y 435.4593 dist m 8.61 v m/s -12.9122 v p/f -6.8865
frame 80 y 442.4330 dist m 8.83 v m/s -13.0756 v p/f -6.9737
frame 81 y 449.4938 dist m 9.05 v m/s -13.2390 v p/f -7.0608
frame 82 y 456.6418 dist m 9.27 v m/s -13.4025 v p/f -7.1480
frame 83 y 463.8770 dist m 9.50 v m/s -13.5659 v p/f -7.2352
frame 84 y 471.1993 dist m 9.72 v m/s -13.7294 v p/f -7.3223
frame 85 y 478.6088 dist m 9.96 v m/s -13.8928 v p/f -7.4095
frame 86 y 486.1055 dist m 10.19 v m/s -14.0563 v p/f -7.4967
frame 87 y 493.6893 dist m 10.43 v m/s -14.2197 v p/f -7.5838
frame 88 y 501.3604 dist m 10.67 v m/s -14.3832 v p/f -7.6710
frame 89 y 509.1185 dist m 10.91 v m/s -14.5466 v p/f -7.7582
frame 90 y 516.9639 dist m 11.16 v m/s -14.7100 v p/f -7.8454
frame 91 y 524.8964 dist m 11.40 v m/s -14.8735 v p/f -7.9325
frame 92 y 532.9161 dist m 11.65 v m/s -15.0369 v p/f -8.0197
frame 93 y 541.0230 dist m 11.91 v m/s -15.2004 v p/f -8.1069
frame 94 y 549.2170 dist m 12.16 v m/s -15.3638 v p/f -8.1940
frame 95 y 557.4982 dist m 12.42 v m/s -15.5273 v p/f -8.2812
frame 96 y 565.8666 dist m 12.68 v m/s -15.6907 v p/f -8.3684
frame 97 y 574.3222 dist m 12.95 v m/s -15.8542 v p/f -8.4556
frame 98 y 582.8649 dist m 13.21 v m/s -16.0176 v p/f -8.5427
frame 99 y 591.4948 dist m 13.48 v m/s -16.1811 v p/f -8.6299
frame 100 y 600.2119 dist m 13.76 v m/s -16.3445 v p/f -8.7171
frame 101 y 609.0161 dist m 14.03 v m/s -16.5079 v p/f -8.8042
frame 102 y 617.9075 dist m 14.31 v m/s -16.6714 v p/f -8.8914
frame 103 y 626.8861 dist m 14.59 v m/s -16.8348 v p/f -8.9786
frame 104 y 635.9518 dist m 14.87 v m/s -16.9983 v p/f -9.0657
frame 105 y 645.1047 dist m 15.16 v m/s -17.1617 v p/f -9.1529
frame 106 y 654.3448 dist m 15.45 v m/s -17.3252 v p/f -9.2401
frame 107 y 663.6721 dist m 15.74 v m/s -17.4886 v p/f -9.3273
frame 108 y 673.0865 dist m 16.03 v m/s -17.6521 v p/f -9.4144
frame 109 y 682.5881 dist m 16.33 v m/s -17.8155 v p/f -9.5016
frame 110 y 692.1769 dist m 16.63 v m/s -17.9789 v p/f -9.5888
frame 111 y 701.8528 dist m 16.93 v m/s -18.1424 v p/f -9.6759
frame 112 y 711.6160 dist m 17.24 v m/s -18.3058 v p/f -9.7631
frame 113 y 721.4662 dist m 17.55 v m/s -18.4693 v p/f -9.8503
frame 114 y 731.4037 dist m 17.86 v m/s -18.6327 v p/f -9.9375
frame 115 y 741.4283 dist m 18.17 v m/s -18.7962 v p/f -10.0246
frame 116 y 751.5401 dist m 18.49 v m/s -18.9596 v p/f -10.1118
frame 117 y 761.7391 dist m 18.80 v m/s -19.1231 v p/f -10.1990
frame 118 y 772.0252 dist m 19.13 v m/s -19.2865 v p/f -10.2861
frame 119 y 782.3985 dist m 19.45 v m/s -19.4500 v p/f -10.3733
*frame* 120 y 792.8590 dist m 19.78 v m/s -19.6134 v p/f -10.4605
frame 121 y 803.4067 dist m 20.11 v m/s -19.7768 v p/f -10.5477
frame 122 y 814.0415 dist m 20.44 v m/s -19.9403 v p/f -10.6348
frame 123 y 824.7635 dist m 20.77 v m/s -20.1037 v p/f -10.7220
frame 124 y 835.5726 dist m 21.11 v m/s -20.2672 v p/f -10.8092
frame 125 y 846.4690 dist m 21.45 v m/s -20.4306 v p/f -10.8963
frame 126 y 857.4525 dist m 21.80 v m/s -20.5941 v p/f -10.9835
frame 127 y 868.5232 dist m 22.14 v m/s -20.7575 v p/f -11.0707
frame 128 y 879.6810 dist m 22.49 v m/s -20.9210 v p/f -11.1578
frame 129 y 890.9260 dist m 22.84 v m/s -21.0844 v p/f -11.2450
frame 130 y 902.2582 dist m 23.20 v m/s -21.2479 v p/f -11.3322
frame 131 y 913.6776 dist m 23.55 v m/s -21.4113 v p/f -11.4194
frame 132 y 925.1841 dist m 23.91 v m/s -21.5747 v p/f -11.5065
frame 133 y 936.7778 dist m 24.27 v m/s -21.7382 v p/f -11.5937
frame 134 y 948.4587 dist m 24.64 v m/s -21.9016 v p/f -11.6809
frame 135 y 960.2267 dist m 25.01 v m/s -22.0651 v p/f -11.7680
frame 136 y 972.0820 dist m 25.38 v m/s -22.2285 v p/f -11.8552
frame 137 y 984.0244 dist m 25.75 v m/s -22.3920 v p/f -11.9424
frame 138 y 996.0539 dist m 26.13 v m/s -22.5554 v p/f -12.0296
frame 139 y 1008.1706 dist m 26.51 v m/s -22.7189 v p/f -12.1167
frame 140 y 1020.3745 dist m 26.89 v m/s -22.8823 v p/f -12.2039
frame 141 y 1032.6655 dist m 27.27 v m/s -23.0457 v p/f -12.2911
frame 142 y 1045.0437 dist m 27.66 v m/s -23.2092 v p/f -12.3782
frame 143 y 1057.5092 dist m 28.05 v m/s -23.3726 v p/f -12.4654
frame 144 y 1070.0618 dist m 28.44 v m/s -23.5361 v p/f -12.5526
frame 145 y 1082.7015 dist m 28.83 v m/s -23.6995 v p/f -12.6397
frame 146 y 1095.4285 dist m 29.23 v m/s -23.8630 v p/f -12.7269
frame 147 y 1108.2426 dist m 29.63 v m/s -24.0264 v p/f -12.8141
frame 148 y 1121.1438 dist m 30.04 v m/s -24.1899 v p/f -12.9013
frame 149 y 1134.1322 dist m 30.44 v m/s -24.3533 v p/f -12.9884
frame 150 y 1147.2078 dist m 30.85 v m/s -24.5168 v p/f -13.0756
frame 151 y 1160.3705 dist m 31.26 v m/s -24.6802 v p/f -13.1628
frame 152 y 1173.6205 dist m 31.68 v m/s -24.8436 v p/f -13.2499
frame 153 y 1186.9576 dist m 32.09 v m/s -25.0071 v p/f -13.3371
frame 154 y 1200.3820 dist m 32.51 v m/s -25.1705 v p/f -13.4243
frame 155 y 1213.8934 dist m 32.93 v m/s -25.3340 v p/f -13.5115
frame 156 y 1227.4921 dist m 33.36 v m/s -25.4974 v p/f -13.5986
frame 157 y 1241.1779 dist m 33.79 v m/s -25.6609 v p/f -13.6858
frame 158 y 1254.9508 dist m 34.22 v m/s -25.8243 v p/f -13.7730
frame 159 y 1268.8109 dist m 34.65 v m/s -25.9878 v p/f -13.8601
frame 160 y 1282.7582 dist m 35.09 v m/s -26.1512 v p/f -13.9473
frame 161 y 1296.7926 dist m 35.52 v m/s -26.3146 v p/f -14.0345
frame 162 y 1310.9143 dist m 35.97 v m/s -26.4781 v p/f -14.1216
frame 163 y 1325.1232 dist m 36.41 v m/s -26.6415 v p/f -14.2088
frame 164 y 1339.4192 dist m 36.86 v m/s -26.8050 v p/f -14.2960
frame 165 y 1353.8024 dist m 37.31 v m/s -26.9684 v p/f -14.3832
frame 166 y 1368.2727 dist m 37.76 v m/s -27.1319 v p/f -14.4703
frame 167 y 1382.8302 dist m 38.21 v m/s -27.2953 v p/f -14.5575
frame 168 y 1397.4749 dist m 38.67 v m/s -27.4588 v p/f -14.6447
frame 169 y 1412.2067 dist m 39.13 v m/s -27.6222 v p/f -14.7318
frame 170 y 1427.0256 dist m 39.59 v m/s -27.7857 v p/f -14.8190
frame 171 y 1441.9318 dist m 40.06 v m/s -27.9491 v p/f -14.9062
frame 172 y 1456.9252 dist m 40.53 v m/s -28.1125 v p/f -14.9934
frame 173 y 1472.0057 dist m 41.00 v m/s -28.2760 v p/f -15.0805
frame 174 y 1487.1735 dist m 41.47 v m/s -28.4394 v p/f -15.1677
frame 175 y 1502.4283 dist m 41.95 v m/s -28.6029 v p/f -15.2549
frame 176 y 1517.7704 dist m 42.43 v m/s -28.7663 v p/f -15.3420
frame 177 y 1533.1996 dist m 42.91 v m/s -28.9298 v p/f -15.4292
frame 178 y 1548.7159 dist m 43.40 v m/s -29.0932 v p/f -15.5164
frame 179 y 1564.3195 dist m 43.88 v m/s -29.2567 v p/f -15.6035
*frame* 180 y 1580.0101 dist m 44.38 v m/s -29.4201 v p/f -15.6907
frame 181 y 1595.7880 dist m 44.87 v m/s -29.5835 v p/f -15.7779
frame 182 y 1611.6531 dist m 45.36 v m/s -29.7470 v p/f -15.8651
frame 183 y 1627.6053 dist m 45.86 v m/s -29.9104 v p/f -15.9522
frame 184 y 1643.6448 dist m 46.36 v m/s -30.0739 v p/f -16.0394
frame 185 y 1659.7714 dist m 46.87 v m/s -30.2373 v p/f -16.1266
frame 186 y 1675.9851 dist m 47.37 v m/s -30.4008 v p/f -16.2137
frame 187 y 1692.2860 dist m 47.88 v m/s -30.5642 v p/f -16.3009
frame 188 y 1708.6741 dist m 48.40 v m/s -30.7277 v p/f -16.3881
frame 189 y 1725.1493 dist m 48.91 v m/s -30.8911 v p/f -16.4753
frame 190 y 1741.7117 dist m 49.43 v m/s -31.0546 v p/f -16.5624
frame 191 y 1758.3613 dist m 49.95 v m/s -31.2180 v p/f -16.6496
frame 192 y 1775.0981 dist m 50.47 v m/s -31.3814 v p/f -16.7368
frame 193 y 1791.9221 dist m 51.00 v m/s -31.5449 v p/f -16.8239
frame 194 y 1808.8333 dist m 51.53 v m/s -31.7083 v p/f -16.9111
frame 195 y 1825.8315 dist m 52.06 v m/s -31.8718 v p/f -16.9983
frame 196 y 1842.9170 dist m 52.59 v m/s -32.0352 v p/f -17.0855
frame 197 y 1860.0896 dist m 53.13 v m/s -32.1987 v p/f -17.1726
frame 198 y 1877.3494 dist m 53.67 v m/s -32.3621 v p/f -17.2598
frame 199 y 1894.6963 dist m 54.21 v m/s -32.5256 v p/f -17.3470
frame 200 y 1912.1304 dist m 54.75 v m/s -32.6890 v p/f -17.4341
frame 201 y 1929.6517 dist m 55.30 v m/s -32.8524 v p/f -17.5213
frame 202 y 1947.2603 dist m 55.85 v m/s -33.0159 v p/f -17.6085
frame 203 y 1964.9559 dist m 56.40 v m/s -33.1793 v p/f -17.6956
frame 204 y 1982.7388 dist m 56.96 v m/s -33.3428 v p/f -17.7828
frame 205 y 2000.6088 dist m 57.52 v m/s -33.5062 v p/f -17.8700
frame 206 y 2018.5659 dist m 58.08 v m/s -33.6697 v p/f -17.9572
frame 207 y 2036.6102 dist m 58.64 v m/s -33.8331 v p/f -18.0443
frame 208 y 2054.7417 dist m 59.21 v m/s -33.9966 v p/f -18.1315
frame 209 y 2072.9604 dist m 59.78 v m/s -34.1600 v p/f -18.2187
frame 210 y 2091.2664 dist m 60.35 v m/s -34.3234 v p/f -18.3058
frame 211 y 2109.6594 dist m 60.93 v m/s -34.4869 v p/f -18.3930
frame 212 y 2128.1396 dist m 61.50 v m/s -34.6503 v p/f -18.4802
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