Am I doing this correctly? Projectile code

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Aaron Zorzi 2016-2-9

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/267252-am-i-doing-this-correctly-projectile-code

Hi, I just was hoping to double check these results I'm getting, because I'm worried they may be off. These are the formulas/variables I was meant to use:

And then, using symbolic toolbox, I created a code to solve for V and Theta:

f1 = sym('1600 = -1/2*9.81*10^2 + V*sin(Theta)*10 + 0')
f2 = sym('1200 = V*cos(Theta)*10 + 0')
result = solve(f1,f2,'V','Theta')
V = result.V
Theta = result.Theta

Valid Initial Velocity, Vo = 241.04336 (m/s)

Valid Launch Angle, θ = 1.04969

I was then meant to check my results by plotting them with vectors. This is the part I am worried about, as I don't know much about physics, so I don't know if this looks right. Any and all help appreciated, thank you.

time = 0:1:10;
y = -1/2*9.81*time.^2 + 241.04336*sin(1.04969)*time - 1600;
x = 241.04336*cos(1.04969)*time - 1200;
plot(x,y)
title('Projectile')
ylabel('Projectile Height (m)')
xlabel('Projectile Range (m)')