Graphing

So i have the equations of

%Vehicle 1 V1f = (M1*V1 + M2*V2 + M2*E*(V2-0)) / (M1 +M2);

%Vehicle 2 V2f = (M1*V1 + M2*V2 + M1*E*(V1-V2)) / (M1 +M2);

%Time Traveled

T1=(M1*V1f) / (U*M1*G);

T2= (M2*V2f) / (U*M2*G);

    %Distance traveled after the Collision
    %Vehicle 1
    s1 = (V1f*T1) -(.5*U*G*T1^2);
    %Vehicle 2
    s2 = (V2f*T2) -(.5*U*G*T2^2);;

I need to have a line graph comparing S1 vs T1 and S2 vs T2. How would i create a line graph of these.

Answer 1

[Walter Roberson]

plot(T1, s1, 'r', T2, s2, 'g')

This presumes that T1 and T2 are each vectors of times after their calculation. But if so, if they are vectors, then you probably need to change your s equations slightly:

    %Distance traveled after the Collision
    %Vehicle 1
    s1 = (V1f.*T1) -(.5*U*G*T1.^2);
    %Vehicle 2
    s2 = (V2f.*T2) -(.5*U*G*T2.^2);

[Kyle Taliaferro]

Lets say after i run the program i wrote that i get T1= .256 and s1 = .3285. How could do a graph with s1 as a function of time. Where it will show me from s1=0 to s1=.3285 with respect to a certain time

[Walter Roberson]

Are you asking for an interpolation of some kind, such as a prediction of what time s1 would have reached (e.g.) 0.2345 based upon the ouputs that had s1 = 0.3285 when T1 = 0.256 ?

If so, then presuming that U and G are positive and presuming that you want non-negative times,

Tn = (V1f+(V1f^2-2*U*G*s1n)^(1/2))/U/G

would be the time Tn at which the s value s1n would be reached.

NumPoints = 1000;

s1n = linspace(0,s1,NumPoints);

T1n = (V1f+sqrt(V1f^2-2*U*G*s1n))/(U*G);

plot(T1n, s1n,'b')

[Kyle Taliaferro]

i dont want interpolation. I want a graph that will have the x axis going from 0 to .256 and then have point inbetween 0 and .256

get plugged into the s1 equation.

t1n=linspace(0,T1,200)

have each t1n point get plugged into s1 and the plot the two

[Walter Roberson]

Like,

t1n = linspace(0,T1,200);

s1n = (V1f.*t1n) -(.5*U*G*t1n.^2);

plot(t1n, s1n)

[Kyle Taliaferro]

Yes. Thankyou. That did the trick.