vault backup: 2025-09-03 13:47:38

education/physics/PHYS2210/Unit 1.md

@@ -22,4 +22,10 @@ $$ v_{\text{instant}} = v = \lim_{\Delta t \to 0}\frac{\Delta x}{\Delta t} = \fr
 - $a(t)$ -> **slope** of velocity-vs-time (derivative of $v(t)$)
 # Acceleration
 To find the instantaneous acceleration, we can apply the formula:
-$$a_{\text{instant}} = a = \frac{dv}{dt} = \frac{d}{dt} \frac{dx}{dt} = \frac{d^2x}{dt^2}$$
+
+$$a_{\text{instant}} = a = \frac{dv}{dt} = \frac{d}{dt} \frac{dx}{dt} = \frac{d^2x}{dt^2}$$
+## Equations of Motion for Constant Acceleration
+1. $v = v_0 + at$ 
+2. $x = x_0 + \frac{1}{2}(v_0 + v)t$ 
+3. $x = x_0 + v_0 t + \frac{1}{2} a t^2$ 
+4. $v^2 = v_0^2 + 2a(x - x_0)$