Group 11's Project.ipynb

Kernel: SageMath (stable)

#Pong Shot Velocity
#Input an angle you'd like to shot at, and the program tells you how much velocity you need

import numpy as np
import matplotlib.pyplot as plt
import math
from math import sin, cos

angle_deg = 30
angle = (angle_deg*np.pi)/180 #converts degrees to radians
v0 = 0
time = 10 #max shot time
t = np.linspace(0,time,400) #start, stop, num
dt = t[1]-t[0] #time slice

g=-9.8
m=1 #mass of object

L = 1.83 #table length
x = np.linspace(0,L,100) #array for x values of table
H = .76 #table height
h=np.zeros(100)
h.fill(H)#array for y values of table

T=0
y0 = 2 #height of ball release, typically eye height
x0 = 0
vg = 0
y_release = y0-H
y_list = [y0]
x_list = [x0]
v_list = [vg]
a_list = [g]

#solving for v0:
v0 = sqrt((g*L**2)/(2*(-y_release-(np.tan(angle)*L))))/np.cos(angle)

#solving for x and y components of v0
vx = v0*np.cos(angle)
vy = v0*np.sin(np.pi-angle)

for i in range(1, len(t)):
    vg += m*g*dt
    y0 += (vg + vy)* dt
    x0 += vx * dt
    T += dt #Keep track of duration of shot
    if y0 > H:
        y_list.append(y0)
        x_list.append(x0)
        v_list.append(vg)
        a_list.append(g)
    else:
        break
plt.plot(x_list,y_list,linewidth=4, label = "Pong Ball Path", color = 'r')
plt.plot(x,h,linewidth = 4, label = 'Table', color = 'k')
plt.ylim(0, 5) #set ylim to floor (0m) to 5m
plt.xlim(-.5, 3)# set the xlim to be from behind the table to infront of table
plt.axes
plt.show
plt.legend()
print('Duration of shot: ' + str(round(T,2)) +' seconds')
print('If you shoot at ' + str(angle_deg) + ' degrees, shoot with a velocity of: ' + str(round(v0,3)) + ' m/s')
if(angle_deg < 45):
    print('Snipe show!')
if(angle_deg >= 45):
    print('Kobe!')

Duration of shot: 0.68 seconds
If you shoot at 30 degrees, shoot with a velocity of: 3.087 m/s
Snipe show!