A particle is moving along a curve given by

$,$ where

is in meters. The particle's horizontal velocity component is a constant

$.$

Python Inputs:

from sympy import $*$

import numpy as np

x $=$ symbols$(\text{'}$x$\text{'})$

y $=2*$sin$($x$)$

vx $=15$

x$\_$v $=2*$np$.$pi

What is the vertical component of velocity

when

$?$