📚 Dinámica - Beer & Johnston 9º edición - Ejercicio 11.38

Ecuaciones escritas en Python & Manim vectorial para el video :
***EC1 ***
from manim import*
class pintura(Scene):
def construct(self):
eq1=Tex("\dfrac{v\mathrm{d}v}{\mathrm{d}x}=a",color=BLUE).move_to(np.array([-5,3,0]))
eq2=Tex("vdv = adv",color=BLUE).move_to(np.array([-5,2,0]))
eq3=Tex("\int_{v_0}^{v}vdv=a\int_{x_0}^{x}",color=BLUE).move_to(np.array([-4,1,0]))
eq4=Tex("\frac{v^{2}}{2}-\frac{v_0^{2}}{2}=a(x-x_0)",color= BLUE).move_to(np.array([-4,0,0]))
eq5=Tex("v^{2}-v_0^{2}=2a(x-x_0)",color=BLUE).move_to(np.array([-4,-1,0]))
self.camera.background_color=WHITE
self.play(Write(eq1))
self.wait(4)
self.play(Write(eq2))
self.wait(4)
self.play(Write(eq3))
self.wait(4)
self.play(Write(eq4))
self.wait(4)
self.play(Write(eq5))
self.wait(5)
******EC2 ******
from manim import*
class pintura(Scene):
def construct(self):
eq1=Tex("v^{2}-v_0^{2}=2a(x-x_{0})",color=BLUE).move_to(np.array([-4,3,0]))
eq2=Tex("V_{AB}^{2}-0=2(4.8m/s^{2})(3-0)m",color=BLUE).move_to(np.array([-3,2,0]))
eq3=Tex("V_{AB}^{2}=2(4.8m/s^{2})(3m)",color=BLUE).move_to(np.array([-4,1,0]))
eq4=Tex("V_{AB}=\sqrt{28.8 m^{2}/s^{2}}",color= BLUE).move_to(np.array([-4,0,0]))
eq5=Tex("Rspta=5.366 m/s",color=BLUE).move_to(np.array([-4,0,0]))
self.camera.background_color=WHITE
self.play(Write(eq1))
self.wait(4)
self.play(Write(eq2))
self.wait(4)
self.play(Write(eq3))
self.wait(4)
self.play(Write(eq4))
self.wait(4)
self.play(Transform(eq4, eq5))
self.wait(4)