Part 1: Linear Forces
++ The first - and perhaps easiest - part of implementing any rigid body physics system is getting the entities in your scene to move in response to linear forces. + With this implementation alone, you can achieve an interesting level of realism in your 2D (and even 3D) scene. +
++ Let's begin by recalling the relationships between acceleration, velocity, and position. +
++ Knowing all this, you should be able to understand the following source code fairly easily; +
+
+ function update(dtSeconds) {
+ // Add up the forces acting on the circle
+ const GRAVITY = 9.8;
+ const lGravityForce = vec2(0, -1.0 * (lCircle.mass * GRAVITY));
+ lCircle.force = addVec2(lCircle.force, lGravityForce);
+
+ // Figure out acceleration (a = F / m)
+ const lCurrentAcceleration = scaleVec2(lCircle.force, 1.0 / lCircle.mass);
+
+ // Calculate the new velocity: v = v0 + a * t
+ lCircle.velocity = addVec2(lCircle.velocity, scaleVec2(lCurrentAcceleration, dtSeconds));
+
+ // Update the position based on velocity: x = x0 + v * t
+ lCircle.position = addVec2(lCircle.position, scaleVec2(lCircle.velocity, dtSeconds));
+
+ // Update the model matrix accordingly
+ lCircle.model = translateMatrix(mat4(), lCircle.position.x, lCircle.position.y, 0);
+
+ // Reset the force vector for the next update
+ lCircle.force = vec2()
+ }
+
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