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/Henelsmith.pdf
Enjoy!
John
