# Demo entry 6718242

ps4-151

Submitted by anonymous on Mar 02, 2018 at 21:20
Language: Python 3. Code size: 1.2 kB.

```# -*- coding: utf-8 -*-
from pylab import *
import math

degree = 0
xrange = 0
rangemax = 0
maxpoint = 0

'''numeral values used in question #2'''

height = 75
freefallacc = 9.8
velocity = 36

'''define x(theta). Refer to analytical method'''

def xoftheta(theta):
crange = ((-velocity * math.sin(theta) * velocity * math.cos(theta) - \
velocity * math.cos(theta) * math.sqrt(velocity*velocity*\
math.sin(theta)*math.sin(theta)+2*freefallacc*height)) \
/ (-freefallacc) )
return crange;

'''for theta in [0,9.9], step = 0.1 in order to keep 2 sig figures'''

while degree < 10:
radian = math.radians(degree)
xrange = xoftheta(radian)
if xrange > rangemax:
rangemax = xrange
maxpoint = degree
degree = degree + 0.1

degree = 10

'''for theta in [10,90], step = 1 in order to keep 2 sig figures'''

while degree < 91:
radian = math.radians(degree)
xrange = xoftheta(radian)
if xrange > rangemax:
rangemax = xrange
maxpoint = degree
degree = degree + 1

print ('x attains its maximum value at ', maxpoint, 'degree')
```

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