From 32561d3c6e98e1ec95b19958da3ab4627aad55f4 Mon Sep 17 00:00:00 2001
From: cprutean <cip.pruteanu@ed.ac.uk>
Date: Wed, 7 Aug 2024 14:55:21 +0100
Subject: [PATCH] Update file Checkpoint5.ipynb

---
 Checkpoints/Checkpoint5.ipynb | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Checkpoints/Checkpoint5.ipynb b/Checkpoints/Checkpoint5.ipynb
index 16e295f..08a442a 100644
--- a/Checkpoints/Checkpoint5.ipynb
+++ b/Checkpoints/Checkpoint5.ipynb
@@ -22,13 +22,13 @@
     "\n",
     "$$\\text{Acceleration} = \\vec{a}_i$$\n",
     "\n",
-    "then at time t$$_{i+1}$$=t$$_i$$+Δt the position and velocity of the particle can be approximated by\n",
+    "then at time $t_{i+1}=t_i+Δt$ the position and velocity of the particle can be approximated by\n",
     "\n",
     "$$\\vec{x}_{i+1} = \\vec{x}_i+Δt\\vec{v}_i$$\n",
     "\n",
     "$$\\vec{v}_{i+1} = \\vec{v}_i+Δt\\vec{a}_i$$\n",
     "\n",
-    "So if we start at time t$_0$=0 at position $\\vec{x}_0$ and velocity $\\vec{v}_0$, then provided we can calculate the force on the particle, and hence the acceleration $\\vec{a}_i$, and use small enough time steps Δt, we can iteratively trace out the path by repeated use of the above relations.\n",
+    "So if we start at time $t_0=0$ at position $\\vec{x}_0$ and velocity $\\vec{v}_0$, then provided we can calculate the force on the particle, and hence the acceleration $\\vec{a}_i$, and use small enough time steps Δt, we can iteratively trace out the path by repeated use of the above relations.\n",
     "\n",
     "### Forces on Particle\n",
     "\n",
-- 
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