[Tatsu]

Done. Using standard quadratic drag estimate and coefficient of .5 (close to a percent or less with spheres traveling less than 33 mph IIRC)
Using matca, someone can check my numbers but I'm pretty sure they're right.
Table is in radians, fired at 12 m/s. The first one is radians, the second entry is the data, 1st entry is the y distance, 2nd entry is the error (from discrete modeling).

{{0.01, {1.878, -0.173984}}, {
0.02, {1.87773, -0.154081}}, {0.03, {1.87729, -0.13419}}, {
0.04, {1.87668, -0.114314}}, {0.05, {1.87589, -0.0944532}}, {
0.06, {1.87492, -0.0746112}}, {0.07, {
1.87377, -0.0547895}}, {0.08, {1.87246, -0.03499}}, {0.09, {
1.87096, -0.0152148}}, {0.1, {2.74991, -0.189958}}, {0.11, {2.74725, \
-0.16047}}, {0.12, {2.74434, -0.131048}}, {
0.13, {2.74117, -0.101694}}, {0.14, {2.73775, -0.0724108}}, {0.15, \
{2.73407, -0.0432013}}, {0.16, {2.73015, -0.0140684}}, {0.17, {3.56738, \
-0.20893}}, {0.18, {3.56169, -0.170432}}, {
0.19, {3.55568, -0.132036}}, {
0.2, {3.54934, -0.0937462}}, {0.21, {3.54268, -0.0555826}}, {
0.22, {3.53569, -0.0175625}}, {0.23, {
4.33218, -0.243732}}, {0.24, {4.32297, -0.196783}}, {0.25, {
4.31338, -0.150017}}, {0.26, {4.3034, -0.103439}}, {0.27, {
4.29303, -0.057053}}, {0.28, {4.28227, -0.0108628}}, {0.29, {
5.03816, -0.270303}}, {0.3, {5.02477, -0.21564}}, {
0.31, {5.01094, -0.161219}}, {0.32, {4.99665, -0.107074}}, {
0.33, {4.98192, -0.0532141}}, {0.34, {5.69995, -0.35631}}, {0.35, {
5.68229, -0.294547}}, {0.36, {5.66411, -0.233119}}, {0.37, {
5.64544, -0.172032}}, {
0.38, {5.62625, -0.11129}}, {0.39, {5.60655, -0.0508989}}, {
0.4, {6.28483, -0.391372}}, {0.41, {6.26187, -0.323656}}, {
0.42, {6.23836, -0.256343}}, {0.43, {
6.21427, -0.189469}}, {0.44, {6.18963, -0.12305}}, {0.45, {
6.16442, -0.0570912}}, {0.46, {6.80323, -0.437435}}, {0.47, {
6.77445, -0.364877}}, {0.48, {6.74505, -0.292836}}, {0.49, {
6.71503, -0.221317}}, {0.5, {6.68439, -0.150323}}, {0.51, {
6.65314, -0.07986}}, {0.52, {6.62127, -0.00993174}}, {0.53, {
7.21763, -0.426246}}, {0.54, {7.18184, -0.350434}}, {0.55, {
7.14538, -0.275235}}, {0.56, {7.10825, -0.200677}}, {0.57, {
7.07044, -0.126763}}, {0.58, {7.03197, -0.0534979}}, {0.59, {
7.58909, -0.515398}}, {0.6, {7.54641, -0.437034}}, {0.61, {
7.503, -0.359378}}, {0.62, {7.45887, -0.282434}}, {0.63, {
7.41401, -0.206206}}, {0.64, {7.36842, -0.130696}}, {0.65, {
7.32211, -0.0559089}}, {0.66, {7.83634, -0.56063}}, {0.67, {
7.78549, -0.481498}}, {0.68, {7.73385, -0.403148}}, {0.69, {
7.68142, -0.325601}}, {0.7, {7.62822, -0.248882}}, {
0.71, {7.57423, -0.172992}}, {0.72, {7.51946, -0.0979347}}, {
0.73, {7.4639, -0.023711}}, {0.74, {7.93061, -0.570386}}, {
0.75, {7.8701, -0.492712}}, {0.76, {7.80875, -0.415932}}, {0.77, \
{7.74656, -0.340046}}, {0.78, {7.68353, -0.265058}}, {
0.79, {7.61965, -0.19097}}, {0.8, {7.55493, -0.117784}}, {0.81, {7.48936, \
-0.0455023}}, {0.82, {7.90715, -0.6387}}, {0.83, {7.83621, -0.563765}}, \
{0.84, {7.76435, -0.489791}}, {0.85, {7.69159, -0.41678}}, {0.86, {7.61792, \
-0.344753}}, {0.87, {7.54334, -0.273721}}, {0.88, {7.46784, -0.203685}}, \
{0.89, {7.39143, -0.134647}}, {0.9, {7.3141, -0.0666068}}, {
0.91, {7.67639, -0.70757}}, {0.92, {7.59316, -0.637761}}, {
0.93, {7.50895, -0.569005}}, {
0.94, {7.42376, -0.501302}}, {0.95, {7.33758, -0.434655}}, {
0.96, {7.25041, -0.369063}}, {0.97, {7.16226, -0.304527}}, {
0.98, {7.07311, -0.241048}}, {0.99, {6.98297, -0.178627}}, {
1., {6.89184, -0.117264}}, {1.01, {6.79971, -0.0569607}}, {
1.02, {7.09238, -0.746587}}, {1.03, {6.99362, -0.685404}}, {1.04, \
{6.89378, -0.625334}}, {1.05, {
6.79287, -0.566376}}, {1.06, {6.69088, -0.508531}}, {1.07, {
6.58781, -0.4518}}, {1.08, {6.48366, -0.396184}}, {1.09, {6.37843, \
-0.341692}}, {1.1, {6.27211, -0.28833}}, {1.11, {6.1647, -0.236096}}, {1.12, {
6.0562, -0.184991}}, {1.13, {5.9466, -0.135014}}, {1.14, {5.83591, \
-0.086165}}, {1.15, {5.72412, -0.0384431}}, {1.16, {5.9213, -0.780452}}, \
{1.17, {5.80176, -0.732864}}, {1.18, {5.68103, -0.686452}}, {1.19, {
5.55911, -0.641218}}, {1.2, {5.43599, -0.597161}}, {1.21, {5.31167, \
-0.55428}}, {1.22, {5.18615, -0.512575}}, {1.23, {5.05942, -0.472047}}, \
{1.24, {4.93149, -0.432694}}, {1.25, {4.80234, -0.394516}}, {1.26, {4.67198, \
-0.357514}}, {1.27, {4.5404, -0.321686}}, {1.28, {4.4076, -0.287034}}, {1.29, \
{4.27357, -0.253555}}, {1.3, {4.13832, -0.221251}}, {1.31, {4.00184, \
-0.19012}}, {1.32, {3.86413, -0.160163}}, {1.33, {3.72518, -0.13138}}, {
1.34, {3.58499, -0.103769}}, {1.35, {3.44356, -0.0773314}}, {1.36, \
{3.30088, -0.0520663}}, {1.37, {3.15696, -0.0279736}}, {1.38, {3.01179, \
-0.00505312}}, {1.39, {3.02363, -0.810602}}, {1.4, {
2.86829, -0.789156}}, {1.41, {2.71157, -0.76893}}, {1.42, {
2.55347, -0.749925}}, {1.43, {2.39399, -0.732141}}, {1.44, {
2.23313, -0.715577}}, {1.45, {2.07088, -0.700233}}, {1.46, {1.90724, \
-0.686109}}, {1.47, {1.7422, -0.673205}}, {1.48, {1.57576, -0.661522}}, \
{1.49, {1.40792, -0.651058}}, {1.5, {
1.23868, -0.641814}}, {1.51, {1.06802, -0.633789}}, {1.52, {
0.895955, -0.626985}}, {1.53, {0.722471, -0.6214}}, {1.54, {
0.54757, -0.617034}}, {1.55, {0.371248, -0.613888}}, {1.56, {0.193502, \
-0.611962}}, {1.57, {0.0143294, -0.611255}}}

If anyone wants me to generate some other arbitrary thing (rather than firefrom x = 0 to x =0 .. I can do so.)