diff --git a/pacman-project/adt/draw.rkt b/pacman-project/adt/draw.rkt
index a578825..7e7f291 100644
--- a/pacman-project/adt/draw.rkt
+++ b/pacman-project/adt/draw.rkt
@@ -262,9 +262,10 @@
           (+ a (* t (- b a))))
 
         ;; draw-pacman! :: pacman, number -> /
-        ;; Draws Pac-Man with forward extrapolation from current position.
-        ;; Formula: current + (current - prev) * t — visual leads toward
-        ;; the next tile so it aligns with the logical hitbox.
+        ;; Draws Pac-Man with offset backward interpolation. Uses
+        ;; lerp(prev, current, 0.5 + t/2) so the visual starts at the
+        ;; midpoint (max 0.5 tile lag) and arrives at current by t=1.
+        ;; No jumps on direction changes unlike forward extrapolation.
         (define (draw-pacman! pacman progress)
           (let* ((pos (pacman 'position))
                  (row (pos 'row))
@@ -272,8 +273,9 @@
                  (prev-row (pacman 'prev-row))
                  (prev-col (pacman 'prev-col))
                  (t (min progress 1))
-                 (render-row (+ row (* t (- row prev-row))))
-                 (render-col (+ col (* t (- col prev-col))))
+                 (factor (+ 0.5 (* 0.5 t)))
+                 (render-row (lerp prev-row row factor))
+                 (render-col (lerp prev-col col factor))
                  (direction (pacman 'direction)))
             ((pacman-sprite 'set-x!) (grid->pixel-x render-col))
             ((pacman-sprite 'set-y!) (grid->pixel-y render-row))
@@ -283,7 +285,7 @@
                   ((eq? direction 'down) ((pacman-sprite 'rotate!) rotation-down)))))
 
         ;; draw-ghosts! :: list -> /
-        ;; Updates all ghost sprite positions with forward extrapolation.
+        ;; Updates all ghost sprite positions with offset backward interpolation.
         (define (draw-ghosts! ghosts)
           (for-each
            (lambda (ghost ghost-draw)
@@ -293,8 +295,9 @@
                     (prev-row (ghost 'prev-row))
                     (prev-col (ghost 'prev-col))
                     (t (min (/ (ghost 'movement-timer) ghost-speed-ms) 1))
-                    (render-row (+ row (* t (- row prev-row))))
-                    (render-col (+ col (* t (- col prev-col))))
+                    (factor (+ 0.5 (* 0.5 t)))
+                    (render-row (lerp prev-row row factor))
+                    (render-col (lerp prev-col col factor))
                     (dir (ghost 'direction)))
                ((ghost-draw 'update!) render-row render-col dir)))
            ghosts ghost-draw-states))