Jumping physics pseudocode

// Member variables
float JumpUpVelocity;
float GravDownAcceleration;
vector3 Position;
vector3 Velocity;
vector3 Acceleration;

void CalcParameters(float InFootSpeed, float InJumpHeight, float InJumpWidthToPeak)
{
	JumpUpVelocity = 2.0f * InJumpHeight * InFootSpeed / InJumpWidthToPeak;
	GravDownAcceleration = -2.0f * InJumpHeight * InFootSpeed * InFootSpeed / (InJumpWidthToPeak * InJumpWidthToPeak);

	// Assumes +Z is up, swizzle as necessary.
	Acceleration = vector3(0, 0, -GravDownAcceleration);
};

void Jump()
{
	// TODO: Make sure we're standing on the ground unless we want to allow air jumping.

	// Assumes +Z is up, swizzle as necessary.
	// Can't change X or Y unless we deliberately want to alter lateral movement when jumping.
	Velocity.z = JumpUpVelocity;
}

void Update(float DeltaTime)
{
	// Velocity Verlet integration given the simple case of constant acceleration.
	// This should run once per frame.
	Position = Position + ((Velocity * DeltaTime) + (Acceleration * DeltaTime * DeltaTime * 0.5f));
	Velocity = Velocity + (Acceleration * DeltaTime);
}