{
  "annotation_id": "6de356e0-d623-4320-8561-a58b1b760156",
  "date_created": "2026-03-02T18:01:00.748000Z",
  "date_modified": "2026-03-02T18:01:00.748000Z",
  "file_hash": "ef369cc339b548d288a8e881ee04a0d3d5ef108568c318ca48b647cb37d30a6a",
  "private": false,
  "record": {
    "abstract": "A classic problem of the motion of a point mass (projectile) thrown at an\nangle to the horizon is reviewed. The air drag force is taken into account with\nthe drag factor assumed to be constant. Analytic approach is used for\ninvestigation. The problem of finding an optimal angle of launching a point\nmass in a medium with quadratic drag force is considered. An equation for\ndetermining a value of this angle is obtained. After finding the optimal angle\nof launching, eight main parameters of the point mass motion are analytically\ndetermined. These parameters are used to construct analytically six main\nfunctional relationships of the problem. Simple analytic formulas are used to\nsolve two problems of optimization aimed to maximize the flight range of a\npoint mass and minimize the initial speed of the point mass for getting to the\ngiven point on the plane. The motion of a baseball is presented as an example.",
    "arxiv_id": "physics/0506201",
    "authors": [
      "Peter Chudinov"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "An Optimal Angle of Launching a Point Mass in a Medium with Quadratic   Drag Force",
    "url": "https://arxiv.org/abs/physics/0506201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d9b46a7-f19a-4ba0-8b8e-2a382096b18a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}