Simple projectiles

proj.py

#Donal Mac Carthy, simple projectiles

import math
#Calculates the distance in the specified direction at the given time
def distattime(u, a, t):
    #A formula
    x = (u*t)+(0.5*a*t*t)
    #Ignore if the distance is negative
    if( x >= 0):
        return x
    else:
        return 0
#Gets the range of the projectile, with assumptions for simplfication
def getRange(ux, uy):
    #Assumes no X-direction acceleration, and gravity is 10
    #Find max height
    #Formula is sy = uy*t - 5 t*t
    #find t when sy = 0
    #0 = uy*t-5*t*t
    #0 = t*(uy-5t)
    #t is 0(starting point) or t is uy/5
    t = uy/5
    #Formula in X direction is sx = ux*t + 1/2ax*t*t
    #Assume ax = 0, so 
    sx = ux*t
    return sx
#Gets the maximum height of the projectile, from assumptions above
def getMaxHeight(uy):
    #using same formula as above, get time of flight t
    t = uy/5
    #Note that this is when uy is 5. If everything is constant, then max height is at t/2
    t/=2
    #Use the formula!
    sy = uy*t - .5*10*t*t
    return sy
#Initial Velocity to use
u = 100

#Angle of projection
alpha = 45
#Convert to radians
alpha *=0.0174532925

#break up velocity into x and y components
ux = u*math.sin(alpha)
uy = u*math.cos(alpha)

#Number of seconds to run simulation for
t = 100
#Number of times to check per second
res = 10.0

#Loop just prints out the time, and the height of the projectile at that time
for i in range(0,t):
    print i/res, distattime(uy,-10,i/res)