Chase a moving target smoothly with a speed limit and no overshoot

A companion, camera or cursor that smoothly follows can zoom across the screen when the target teleports and swing past it when the target stops. Here is how to follow gently, cap the speed, and arrive without a wobble, in two dimensions.

Why this works

A follower that glides in softly feels alive, but one that is never allowed to rush cannot catch up. Limiting how far ahead it may look gives a steady top pace far away and the natural slowing near the goal.

When not to use it

Skip it when the follower should stick to its goal at all times, like a health bar over a character or a held item, because it always lags a little. Attach those directly to what they follow.

In the full entry

• What to build, step by step
• Starting values and the reason for each
• 4 common mistakes and the fix
• 38 lines of example code with 4 checks that pass
• How your AI shows you that it works

Say this to your AI

Use the Spielerando entry "Chase a moving target smoothly with a speed limit and no overshoot" (read_entry follow-a-moving-target-with-a-top-speed) in my game. Build it step by step, and show me how you checked that it works.

Or skip this and connect the MCP: your AI then finds all of this by itself.Connect the MCP