MATLAB: How to Use Symbolic Functions in For Loops

for loopsymbolic functions

I would like to use a symbolic function in a for loop, however I spent hours reading the resources about symbolic functions and for loops and am still unable to figure out how I can go about doing this. My goal is to define the initial conditions of a particle (Position [x0 y0 z0] and Velocity [vx0 vy0 vz0]) and based on those, have the for loop calculate the position and velocity of the particle at previously defined time steps. This is all I have gotten started with on code:
syms x(t) y(t) z(t) vx(t) vy(t) vz(t)
%Untis of cm/s
%Initial Conditions
s0 = [5 5 5];
v0 = [-5E+8 0. -5E+8];
x(0) = s0(1);
y(0) = s0(2);
z(0) = s0(3);
vx(0) = v0(1);
vy(0) = v0(2);
vz(0) = v0(3);
for t = 0:1E-10:10E-8 %Time step and interval
The reason I want to use a symbolic function for this is because position and velocity depend on time and I also want to add a function that randomly decides to change the velocity vector at a given time within the for loop. If anyone needs any more contextual information I will provide it as swiftly as possible, thanks.

Best Answer

Use a cell array into which you put symbolic time tests and corresponding output formulae. Then piecewise(TheCell{:}) to construct the overall formulae.
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