Linear movement of object in scene from one place to another place

Questions
,
1

Not an object but camera, I am making first person camera movement. I want it move from one place to where I click on floor. I have managed to achieve this by lerp but the issue is that if destination position is very far it moves really fast initially and slows down at the end. I want linear movement regardless of how much is distance. Right now the step of lerp is directly proportional to the distance camera has to travel but i want the step of movement to be constant.
is it possible?
You can check the demo

2

You can just calculate the direction from the camera to the target, normalize it (ie. make the direction vector to have a length of 1), then multiply by the constant step.

// NOTE Kinda safest to repeat these all calculations on each frame, although most can also be done only once
const step = 0.5;

const origin = new Vector3();
const target = new Vector3();
const direction = new Vector3();

camera.getWorldPosition(origin);
object.getWorldPosition(target);

direction.copy(target).sub(origin); // NOTE end position - start position = direction from start to end

if (direction.length() < step) {
  // NOTE Camera is closer to the object than a single step, so just move it to the target position
  camera.position.add(direction);

  return;
}

direction.normalize().multiplyScalar(step);

camera.position.add(step);