I need help to graph particle's (3D) and declare x,y,z functions of time describing the particle's path, and calculate position ,velocity and acceleration by matlab and simulink, which commands do ı have to use? thanks

%position vector r=xi+yj+zk
%velocity vector v
%acceleration vector a
t=0:.5:10;
x=2*cos(t);
y=1.3+2.7*t.^2-.031*t.^3;
z=2.4+.14*t.^3;
figure;
plot(x,y,z,t)

Answer 1

[KSSV]

t=0:.5:10;
%%position 
x=2*cos(t);
y=1.3+2.7*t.^2-.031*t.^3;
z=2.4+.14*t.^3;
figure;
hold on
plot3(x,y,z,'r')
%%velocity
dt = unique(diff(t)) ;
dx = diff(x)/dt ;
dy = diff(y)/dt ;
dz = diff(z)/dt ;
plot3(dx,dy,dz,'b') ;
%%acceleration

ddx = diff(dx)/dt ;
ddy = diff(dy)/dt ;
ddz = diff(dz)/dt ;
plot3(ddx,ddy,ddz,'g') ;
legend({'position','velocity','acceleration'})

[mehmet baki]

thank you for your effort, but both matlab and simulink solution is necessary,I dont know simulink

[mehmet baki]

ı just want to graph particle's 3D path and write x,y,z, terms as (for exam. r=3i+5j+10k )

• a position vec. r=xi+yj+zk & magnitude
• a velocity vec. v=..i+..j+..k & magnitude
• a acceleration vec. a=..i+..j..+..k & magnitude

both matlab and simulink solution is necessary