"""

Program that plots the function alpha(t)

According to alpha(t) you can uncomment the code of the plotting section

"""

# Libraries

import sympy as sp

import sympy.plotting as spp

# Symbols to be used, do not change these

t = sp.symbols('t', positive=True)

# Constants

# alpha(t) vector

alpha = sp.Matrix([[t, t**2]])

# Plotting section

# Obtainting the components of alpha(t)

x = alpha[0]

y = alpha[1]

# z=alpha[2]

# 2D

spp.plot_parametric(x, y, (t, 0, 1), title=r"Plot of $\alpha(t)$")

# 3D

#spp.plot3d_parametric_line(x,y,z,(t,-3,3),title=r"Plot of $\alpha(t)$")