Plotting trajectories for each time step

I have the trajectory of an object moving in a plane with the time of detection, X and Y coordinates of the object. I am able to plot the coordinates and the final trajectory of the object as shown in the figure. What should i do, if i need to see each step in the movement trajectory of the object rather than the final trajectory (like sort of an animation)? The mat file is attached with this, the first column corresponds to the time, second and third column corresponds to X and Y coordinates respectively. Any help to solve this will be appreciated.

   time_of_detections = finaL_plot_matrix_cell{1,4}(2:end,1);
   X_coordinate_ant13 = finaL_plot_matrix_cell{1,4}(2:end,2);
   Y_coordinate_ant13 = finaL_plot_matrix_cell{1,4}(2:end,3);
   plot(X_coordinate_ant13,Y_coordinate_ant13,'r');

Answer 1

[KSSV]

load('required_information_for_trajectories.mat')
t = data(:,1) ; 
x = data(:,2) ; 
y = data(:,3) ;
idx = t>=220.20 ;

t = t(idx) ; 
x = x(idx) ; 
y = y(idx) ;

h = plot3(t(1),x(1),y(1)) ;
axis([min(t) max(t) min(x) max(x) min(y) max(y)])
for i = 1:length(t)
    set(h,'Xdata',t(1:i),'Ydata',x(1:i),'Zdata',y(1:i)) ;
    drawnow
end

[Hari krishnan]

@KSSV thank you very much, this is what exactly was looking for. I would like to ask one more question. If i want to search for a specific time (say 220.20) and just to start plotting trajectories from that specific time, is there a way to proceed?

[KSSV]

Edited the answer.....

[Hari krishnan]

Thank you very much.