zenno/race/gate: caveats

zenno/src/routes/race/gate/+page.svelte

@@ -106,7 +106,7 @@
 </script>
 
 <h1 class="text-4xl">Gate Calculator</h1>
-<form class="mx-auto my-4 p-4 grid gap-8 grid-cols-1 max-w-4xl rounded-md shadow-sm md:grid-cols-5">
+<form class="mx-auto my-4 p-4 grid gap-4 grid-cols-1 max-w-4xl rounded-md shadow-sm md:grid-cols-5">
     <div class="grid rounded-md text-center shadow-md ring md:col-span-5 md:grid-cols-5">
         <div class="m-4">
             <label for="powerStat">Power</label>
@@ -265,3 +265,10 @@
     {@render seggsTable(slope < 0 ? 'Fastest Speed (Downhill)' : 'Fastest Speed', seggs[1])}
     {@render seggsTable('Slowest Speed', seggs[0])}
 </div>
+<div class="mx-auto mt-12 w-full max-w-4xl border-t pt-4 md:mt-8">
+    <p>This calculator integrates acceleration analytically for efficiency, but the game uses a finite step approximation. The difference has some implications:</p>
+    <ul class="ml-4 list-disc">
+        <li>Late starts are dramatically more punishing in the game, as acceleration is not applied for the first frame.</li>
+        <li>Start dash always completes a single frame at the dash target speed. This calculator finds the exact moment start dash target speed would be reached and continues integrating from there, leading to a slightly higher speed.</li>
+    </ul>
+</div>