How to write a mathematical function in MATLAB?

Hi All,

I want to write velocity vector in terms of its component in x, y and z direction , say V= V(t)_x i^+V(t)_y j^+V(t)_z k^. These components are functions of time.

Then I want to differentiate that function with respect to time.

How to do that ?

Any suggestion will be appreciated!

Thanks in advance.

[Rik]

What did you try? Have a read here and here. It will greatly improve your chances of getting an answer.

[Swati Sarangi]

Hello Rik,

I got the idea for my doubt. Along with that I want to display the vector V as a whole whose individual components are inputted by the users.

This is my code snippet.

m=input("Enter the mass of the particle")

V_x=input("Enter the x component of velocity of the particle,(V_x i)")

V_y=input("Enter the y component of velocity of the particle, (V_y j)")

V_z=input("Enter the z component of velocity of the particle ,(V_z k)")

disp("The velocity vector of the particle is %f i+ %f j+%f k ") ----> In this line , which format specifier shold I use to display vector V as a whole (with its individual componenets)

Thanks! :)

[Swati Sarangi]

Yeah, I got what I was looking for

disp("The velocity vector of the particle is")

disp(V_x*i+V_y*j+V_z*k)

Answer 1

[VBBV]

%if true
  % code
% end
syms t i j k
vx = t^2;
vy = t^3;
vz = t^4;
V = @(t) vx*i+vy*j+vz*k;
VV = diff(V,t);% differentiate

Use symbolic expressions and diff function

[Walter Roberson]

no the i^ and so on indicate different unit vectors along different axes.

You probably need to introduce new symbolic variables to stand in for the components, and add logic to handle raising them to various powers using mapSymType.