[Unity] Projectile equation: trajectory prediction

Today, I implemented a projectile equation to get a trajectory prediction. It doesn't take care of weight, wind and drag, but it cover enough the basis.

The script is ready to use.

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using UnityEngine; using System.Collections.Generic; public class ProjectileEquation { [SerializeField] public static Vector3 s_StartVelocity = Vector3.zero; [SerializeField] public static Vector3 s_StartPosition = Vector3.zero; /// <summary> /// Get X /// </summary> /// <param name="t">Time</param> /// <returns>X coordinate at t time</returns> private static float GetX(float t) { return s_StartVelocity.x * t + s_StartPosition.x; } /// <summary> /// Get Y /// </summary> /// <param name="t">Time</param> /// <returns>Y coordinate at t time</returns> private static float GetY(float t) { return 0.5f * Physics.gravity.y * t * t + s_StartVelocity.y * t + s_StartPosition.y; } /// <summary> /// Get Z /// </summary> /// <param name="t">Time</param> /// <returns>Z coordinate at t time</returns> private static float GetZ(float t) { return s_StartVelocity.z * t + s_StartPosition.z; } /// <summary> /// Get trajectory /// </summary> /// <param name="startPosition">Start position</param> /// <param name="velocity">Start velocity</param> /// <param name="tMax">Max t</param> /// <param name="tStep">Time step</param> /// <returns>Trajectory</returns> public static List<Vector3> GetTrajectory(Vector3 position, Vector3 velocity, float tMax, float tStep) { // Keep values s_StartPosition = position; s_StartVelocity = velocity; // Init list List<Vector3> trajectory = new List<Vector3>(); // Fill list for (float t = 0; t < tMax; t += tStep) { trajectory.Add(new Vector3(GetX(t), GetY(t), GetZ(t))); } return trajectory; } }