How to animate a discontinuous function in Python?

Using Python 3.12, Matplotlib 3.9.2

I'm trying to animate the velocity-time graph of object B that would stop moving after some time, which make the function discontinuous. However, the velocity function is connected at said discontinuity by a line.

Is there any way to delete that line in my animation?

Here is the code that I used:

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation 

t = np.linspace(0, 2, 100)
v = -10*t
v = np.where(v <= -10, 0, v)

fig = plt.figure()
plt.axis([0, 3, -12, 12])

av, = plt.plot([],[])

def animate(frame):
   av.set_data(t[:frame],v[:frame])

   return av,

ani = FuncAnimation(fig, animate, frames=len(t))

plt.show()

Define a threshold for identifying large steps. (or some other metric)

delta_v_threshold = 5

Calculate the difference between consecutive velocity values:

delta_v = np.abs(np.diff(v))

Then identify the steps that are 'jumps'

large_step_indices = np.where(delta_v > delta_v_threshold)[0] + 1

Insert NaN/ replace with Nan to create discontinuity and avoid line drawing:

v_discontinuous = v.copy()
v_discontinuous[large_step_indices] = np.nan