diff --git a/src/p_mobj.c b/src/p_mobj.c
index c14ffb251..635d4f42b 100644
--- a/src/p_mobj.c
+++ b/src/p_mobj.c
@@ -3989,12 +3989,11 @@ void P_NullPrecipThinker(precipmobj_t *mobj)
 {
 	//(void)mobj;
 	mobj->precipflags &= ~PCF_THUNK;
+	R_ResetPrecipitationMobjInterpolationState(mobj);
 }
 
 void P_SnowThinker(precipmobj_t *mobj)
 {
-	R_ResetPrecipitationMobjInterpolationState(mobj);
-
 	P_CycleStateAnimation((mobj_t *)mobj);
 
 	// adjust height
@@ -4007,8 +4006,6 @@ void P_SnowThinker(precipmobj_t *mobj)
 
 void P_RainThinker(precipmobj_t *mobj)
 {
-	R_ResetPrecipitationMobjInterpolationState(mobj);
-
 	P_CycleStateAnimation((mobj_t *)mobj);
 
 	if (mobj->state != &states[S_RAIN1])
diff --git a/src/p_user.c b/src/p_user.c
index 4ca4e6c8a..ba43a422f 100644
--- a/src/p_user.c
+++ b/src/p_user.c
@@ -11038,6 +11038,21 @@ static void P_MinecartThink(player_t *player)
 					S_StartSound(minecart, minecart->info->activesound);
 				}
 			}
+
+			// Mark interpolation; the old positions need to be relative to the displacement from the minecart _after_ it's moved.
+			// This isn't quite correct (it captures the landing wobble) but it works well enough
+			if (detleft)
+			{
+				detleft->old_x = detleft->x - (minecart->old_x - minecart->old_x2);
+				detleft->old_y = detleft->y - (minecart->old_y - minecart->old_y2);
+				detleft->old_z = detleft->z - (minecart->old_z - minecart->old_z2);
+			}
+			if (detright)
+			{
+				detright->old_x = detright->x - (minecart->old_x - minecart->old_x2);
+				detright->old_y = detright->y - (minecart->old_y - minecart->old_y2);
+				detright->old_z = detright->z - (minecart->old_z - minecart->old_z2);
+			}
 		}
 		else
 		{
diff --git a/src/screen.c b/src/screen.c
index d4785f941..3842a365d 100644
--- a/src/screen.c
+++ b/src/screen.c
@@ -621,7 +621,13 @@ void SCR_ClosedCaptions(void)
 		y = basey-((i + 2)*10);
 
 		if (closedcaptions[i].b)
-			y -= (closedcaptions[i].b--)*vid.dupy;
+		{
+			y -= closedcaptions[i].b * vid.dupy;
+			if (renderisnewtic)
+			{
+				closedcaptions[i].b--;
+			}
+		}
 
 		if (closedcaptions[i].t < CAPTIONFADETICS)
 			flags |= (((CAPTIONFADETICS-closedcaptions[i].t)/2)*V_10TRANS);