Animated plots may help you:
https://doc.sagemath.org/html/en/reference/plotting/sage/plot/animate.html
For play button, you may use interactive(). For example,
x = SR.var("x")
sines = [plot(c*sin(x), (-2*pi,2*pi), color=Color(c,0,0), ymin=-1, ymax=1)
for c in range(0,1,.2)]
a = animate(sines)
This is a great question, but I don't think it's currently supported.
However, there appears to be a Jupyter widget which supports this:
https://ipywidgets.readthedocs.io/en/stable/examples/Widget%20List.html#Play-(Animation)-widget
so in principle we could add that to the Jupyter implementatio
