From 5030059d387ac8869682ab2a3dd6d6dc1dcf93f9 Mon Sep 17 00:00:00 2001 From: arc Date: Wed, 3 Sep 2025 13:37:38 -0600 Subject: [PATCH] vault backup: 2025-09-03 13:37:38 --- education/physics/PHYS2210/Unit 1.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/education/physics/PHYS2210/Unit 1.md b/education/physics/PHYS2210/Unit 1.md index 502fa88..2de2417 100644 --- a/education/physics/PHYS2210/Unit 1.md +++ b/education/physics/PHYS2210/Unit 1.md @@ -17,5 +17,9 @@ $$ \bar{v} = \dfrac{\text{final position-initial position}}{\text{final time - i $$ v_{\text{instant}} = v = \lim_{\Delta t \to 0}\frac{\Delta x}{\Delta t} = \frac{dx}{dt}$$ -- $x(t)$ -> position as a function of time -$a_{\text{instant}} = a = \frac{dv}{dt} = \frac{d}{dt}() \ No newline at end of file +- $x(t)$ -> **position** as a function of time +- $v(t)$ -> **slope** of position-vs-time (derivative of $x(t)$) +- $a(t)$ -> **slope** of velocity-vs-time (derivative of $v(t)$) +# Acceleration +To find the instantaneous acceleration, we can apply the formula: +$$a_{\text{instant}} = a = \frac{dv}{dt} = \frac{d}{dt} \frac{dx}{dt} = \frac{d^2x}{dt^2}$$ \ No newline at end of file