Function PhysicsComp_YPosAt

src/EntityComponents.c:994–1001

}

static double PhysicsComp_YPosAt(int t, float u) {
	/* v(t, u) = (4 + u) * (0.98^t) - 4, where u = initial velocity */
	/* x(t, u) = Σv(t, u) from 0 to t (since we work in discrete timesteps) */
	/* plugging into Wolfram Alpha gives 1 equation as */
	/* (0.98^t) * (-49u - 196) - 4t + 50u + 196 */
	double a = Math_Exp2(-0.02914633510256746 * t); /* ~0.98^t */
	return a * (-49 * u - 196) - 4 * t + 50 * u + 196;
}

double PhysicsComp_CalcMaxHeight(float u) {
	/* equation below comes from solving diff(x(t, u))= 0 */