my matlab code is wrong

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Piyanut Nanta
Piyanut Nanta 2016-1-24
I'm working on a related to moving objects in a projectile path with external forces from gravity, air resisted and spinning.
Here is my matlab code:
clear all
clc
%Input parameters
h=input('Height in m.(h): ');
%Define assumed parameters
h1=4.75; %in m.
rt=0.21; %in m.
r=2.00; %in m.
g=9.81; %in m/sec^2.
Kd=0.028894; %
m=0.180; %in Kg.
%Initial
theta=atan(2*(h1+rt-h)/r)
theta1=theta*(360/(2*pi))
%หาvoของmodel 1
vm1=sqrt((r*g)/(cos(theta)*sin(theta)))
%หาvoของmodel 2
syms v
V2=vpasolve((-(cos(theta)*sin(theta))/((Kd^2/m^2)*(v^2)*cos(theta)*sin(theta)+g*(Kd/m)*cos(theta)))+((sin(theta)^2*v^2)/(((Kd^2/m^2)*v^4*sin(theta)^2)+(2*g*(Kd/m)*v^2*sin(theta))+(g^2))) == (r/(-(Kd/m)*v^2*cos(theta))), v)
% model 1
tm1=r/(vm1*cos(theta))
Here is the result
Height in m.(h): 0.5
theta =
1.3502
theta1 =
77.3624
vm1 =
9.5867
V2 =
- 3.2665320034196818433565986779223 + 7.2083367243350947875815002536584i
- 3.2665320034196818433565986779223 - 7.2083367243350947875815002536584i
7.9139338928729354872162798794152i
-7.9139338928729354872162798794152i
3.2665320034196818433565986779223 + 7.2083367243350947875815002536584i
3.2665320034196818433565986779223 - 7.2083367243350947875815002536584i
tm1 =
0.9536
The result i got seems to be in corect. The results are complex numbers. And the result is not right. I'm wondering if my matlab code is wrong. Or if i can use other comands instead of "vpasolve"

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