Parabola and Trajectory Nodes

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john

09 May, 2021 08:40 AM

Attached are demos for two simple nodes: parabola and trajectory.

Both produce a single quadratic curve (no resampling). Instead of the T and Distance parameters provided by the quad_curve node, these two nodes allow you to create curves based on standard parameters.

Parabola takes values for A, B, C, X1, and X2 to produce a parabola in standard notation: Ax^2 + Bx + C between X1 and X2. The demo simply displays one such parabola.

Trajectory is similar but takes parameters for angle, velocity, height, and gravity to produce a parabolic trajectory curve. Units are in degrees, meters, and seconds with one meter per pixel starting at the origin. The demo comes with some related nodes:

  • traj_time returns an X.Y point for a time T of a given trajectory
  • cannon draws a whimsical cannon atop a platform that can be adjusted to various angles and heights
  • cannon_offset returns height and x_offset values from the current state of the cannon node that can then be used to adjust the trajectory and traj_time nodes

For more information about calculating trajectories, see https://www.whitman.edu/Documents/Academics/Mathematics/2016/Henels...

Enjoy!

John

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  • parabola_screenshot.png 302 KB
  • trajectory_screenshot.png 419 KB
  • trajectories.png 606 KB
  • parabola_demos.zip 21.9 KB

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