Updated greek laters @ latex compiling

astrosander edited
View solution History
revision #10069 parent #9382 GitHub dbb31ba ← older newer →
en/2.1.36.md +4 −4
@@ -60,18 +60,18 @@
$$ \frac{F_с}{m}=\frac{dv_x}{dt} $$
Derivative of velocity with respect to time
−$$ \frac{dv_x}{dt}=\frac{d}{dt}(v_0-βx) $$
+$$ \frac{dv_x}{dt}=\frac{d}{dt}(v_0-\beta x) $$
−$$ \frac{dv_x}{dt}=\frac{dv_0}{dt}-β\frac{dx}{dt}=-βt $$
+$$ \frac{dv_x}{dt}=\frac{dv_0}{dt}-\beta \frac{dx}{dt}=-\beta t $$
the minus sign shows that the acceleration vector is directed in the direction opposite to the velocity vector.
Combining the equations, we obtain the value of the resistance force as a function of velocity
−$$ \boxed{F=βmv} $$
+$$ \boxed{F=\beta mv} $$
</p>
<h4>Answer</h4>
<p>
− $$F = βmv$$
+ $$F = \beta mv$$
</p>
unchanged lines 12