Function¶

Projectile¶

$\begin{equation} R=\frac{u^2\sin 2\theta}{g} \end{equation}$

$\begin{equation} TF=\frac{2u\sin \theta}{g} \end{equation}$

$\begin{equation} H=\frac{u^2\sin^2\theta}{2g} \end{equation}$

In [1]:

import numpy as np                     # from numpy import* not required to write np
import pandas as pd                    # from pandas import* 
import matplotlib.pyplot as pltfrom    # from matplotlib import*
%matplotlib inline

In [2]:

def projectile(u,theta):    
    g=9.8                                        # acceleration due to gravity
    R = u**2*np.sin(2*np.pi*theta/180)/g         # range
    H= u**2*np.sin(np.pi*theta/180)**2/(2*g)     # max. height
    TF = 2*u*np.sin(np.pi*theta/180)/g           # time of flight      
    return [R,H,TF]  

In [3]:

p=projectile(100,60)
p

Out[3]:

[883.699391616774, 382.6530612244897, 17.67398783233548]

In [4]:

Angle=[]  #list for angle
R=[]      #list for range
H=[]      # list for height
TF=[]      #list for time of flight
for angle in range(1,91):
    a=projectile(100,angle)
    Angle.append(angle)
    R.append(a[0])  # added element  in list R
    H.append(a[1])  # added element  in list H
    TF.append(a[2]) # added element  in list TF    

In [5]:

plt.plot(Angle,R,'g-.',label='Range')
plt.plot(Angle,H,'b^',label='Max.height')
plt.xlabel('Angle(degree)')
plt.ylabel('Distance(m)')
plt.title('Projectile')
plt.legend()
plt.show()

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-5-2812d7921713> in <module>
----> 1 plt.plot(Angle,R,'g-.',label='Range')
      2 plt.plot(Angle,H,'b^',label='Max.height')
      3 plt.xlabel('Angle(degree)')
      4 plt.ylabel('Distance(m)')
      5 plt.title('Projectile')

NameError: name 'plt' is not defined

In [ ]:

plt.plot(Angle,TF,'k*')
plt.xlabel('Angle(degree)')
plt.ylabel('Time of flight(sec)')
plt.title('Projectile')
plt.savefig('projective.eps')
plt.show()

In [ ]:

data={}    # dictionary
data.update({"Angle":Angle,"Range":R ,"Time of flight":TF,"Max.Height": H})

In [ ]:

DF = pd.DataFrame(data)
DF

In [ ]:

DF.to_csv("projectile.csv")  #save data in csv format in excel

In [ ]: