Trying to find the corresponding value of a matrix with an input?

I have a Matrix of values (A). In the first column, it conttains the length of the rods and in the second column it contains the velocity. I want to find a script / code that allows me to input a velocity value and then find the corresponding rod height.

However, one issue is that the velocity values are not exact numbers. For example, one velocity value is 2.8757e3 . Therefore, I would need the script to interpolate the input value and find the interpolated rod height. But I have an array of velocity value that i need to find the corresponding rod heights for. Is there a way to do this?

I will attach my code and my figures.

%% height(x,y)
% Calculate the height here --> fig 1(e)
% Interpolate the velocity with the rod height

fig = openfig('VelocityAgainstRodHeight500Hz.fig');
axObjs = fig.Children;
dataObjs = axObjs.Children;

rod_heights = dataObjs(1).XData;
velocities = dataObjs(1).YData;

A = [];
A(:,1)=rod_heights;
A(:,2)=velocities;

Answer 1

[Karim]

see below for the interpolation

fig = openfig('VelocityAgainstRodHeight500Hz.fig');
axObjs = fig.Children;
dataObjs = axObjs.Children;
rod_heights = dataObjs(1).XData;
velocities = dataObjs(1).YData;

% generate some random velocity values between 750 and 2750
NewVelocities = rand(15,1)*2000 + 750;

% evaluate the rod heigt via interpolation
NewRodHeights = interp1(velocities,rod_heights,NewVelocities,'linear');

% plot the new points
hold on
scatter(NewRodHeights,NewVelocities,'r','filled')
hold off