31:[] 2f:{"title":"Interception calculation","cells":[{"id":0,"value":"md`# Interception calculation\n\nTarget A at the origin is moving with velocity v1 on course theta; gun at B shoots bullet with velocity v2. At what point C can they collide? To simplify the problem let's assume that A is moving horizontally.`","pinned":false,"hidden":false,"mode":"ojs"},{"id":86,"value":"viewof target_position = slider({\n min: -200, \n max: 600,\n value: -100,\n step: 0.1, \n description: \"Position of target\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":96,"value":"viewof distance = slider({\n min: 0, \n max: 100, \n value: 50,\n step: 0.1, \n description: \"Distance to target vector\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":7,"value":"svg``\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":106,"value":"md`Calculations:\n\n${tex.block`\nv_1 t \\sin \\theta = C_y \\\\\nv_1 t \\cos \\theta = C_x \\\\\nv_2 t = \\sqrt{(C_x - B_x)^2 + (C_y - B_y)^2} \\\\\n`}\n\nThen we can plug in the value of B:\n${tex.block`\nv_2 t = \\sqrt{(C_x - ${B[0]})^2 + (C_y - ${B[1]})^2}\n`}\nand solve for C? or are we solving for t?\n`","pinned":true,"hidden":false,"mode":"ojs"},{"id":58,"value":"A = [target_position, 0]","pinned":false,"hidden":false,"mode":"ojs"},{"id":63,"value":"B = [0, distance]","pinned":false,"hidden":false,"mode":"ojs"},{"id":64,"value":"C = calculateInterception(A, B)","pinned":false,"hidden":false,"mode":"ojs"},{"id":74,"value":"md`## Calculation`","pinned":false,"hidden":false,"mode":"ojs"},{"id":45,"value":"function calculateInterception(A, B) {\n // TODO: A, B are [x, y] and this function should return another [x, y]\n return [0, 0];\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":72,"value":"md`## Appendix`","pinned":false,"hidden":false,"mode":"ojs"},{"id":115,"value":"md`This started when I watched a GDC talk about projectiles; see [the slides](https://shellsphinx.github.io/images/PredictableProjectiles.pdf).`","pinned":false,"hidden":false,"mode":"ojs"},{"id":21,"value":"html``","pinned":false,"hidden":false,"mode":"ojs"},{"id":69,"value":"import {slider} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}