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| import matplotlib.pyplot as plt
import numpy as np
from math import *
#Les fonctions------------------------------------------------------
def calcul_vitesses(abscisses,ordonnees,temps):
v_x=[]
v_y=[]
for n in range(len(abscisses)-1):
v_x.append((abscisses[n+1]-abscisses[n])/(temps[n+1]-temps[n]))
v_y.append((ordonnees[n+1]-ordonnees[n])/(temps[n+1]-temps[n]))
temps=temps[:-1]
return v_x,v_y,temps
def calcul_deltaV_deltat(v_x, v_y,temps_v):
a_x=[]
a_y=[]
a=[]
for i in range(1,len(v_x)):
a_x.append((v_x[i]-v_x[i-1])/(temps_v[i]-temps_v[i-1]))
a_y.append((v_y[i]-v_y[i-1])/(temps_v[i]-temps_v[i-1]))
for i in range(len(a_x)):
a.append(sqrt(a_x[i]**2+a_y[i]**2))
t=temps_v[1:]
return a, t
def representation_graphique(a,t):
t=np.array(t)
a=np.array(a)
moy=np.mean(a)
plt.scatter(t,a,marker='+')
plt.plot(t,0*t+9.8,color='red',label=r'$\displaytyle{\frac{F}{m}}$')
plt.plot(t,0*t+moy,color='green', label='moyenne')
plt.title(r'$\frac{\Delta v}{\Delta t} = f(t)$')
plt.xlabel(r'$t \ (s)$')
plt.ylabel(r'$\frac{\Delta v}{\Delta t} \ (m.s^{-2})$')
plt.xlim(0,1.2*max(t))
plt.ylim(0,15)
plt.grid()
plt.legend()
plt.show()
#Le programme principal--------------------------------------------
x=[0.00,0.50,1.00,1.50,2.00,2.50,3.00,3.50,4.00,4.50,5.00]
z=[5.00,4.95,4.80,4.56,4.22,3.77,3.23,2.60,1.86,1.03,0.09]
t=[0.00,0.10,0.20,0.30,0.40,0.50,0.60,0.70,0.80,0.90,1.00]
v_x,v_y,temps_v=calcul_vitesses(x,z,t)
a, t =calcul_deltaV_deltat(v_x,v_y,temps_v)
representation_graphique(a,t) |
