So kinetic energy must always be a scalar quantity, i.e. m is a scalar, velocity is a vector but by squaring it you're finding magnitude squared which is a scalar. Making some assumptions about your question I've made a function that should help you
function KE = kineticEnergy(m,V0,DeltaV_c)
% KINETICENERGY A function that takes mass (m) data
% and velocity data (V0 & DeltaV_c) to
% calculate total kinetic energy.
%
% Example usage: KE = KINETICENERGY(m,V0,DeltaV_c);
%
% INPUT ARGUMENTS
% ================
% m Mass data (size: [N,1])
% V0 Initial? velocity data (size: [1,3])
% DeltaV_c Changed? velocity data (size: [N,3])
%
% OUTPUT ARGUMENTS
% ================
% KE Total kinetic energy
KE = 0.5*sum(m.*norm(V0+DeltaV_c).^2);
end
I've also created a demo file to test that the function works with random data points:
% demo_kineticEnergy.m
% Initialize MATLAB
clear variables
close all
clc
% Create Random Data Arrays
N = 100;
m = rand(N,1);
V0 = rand(1,3);
DeltaV_c = rand(N,3);
% Call kineticEnergy.m
KE = kineticEnergy(m,V0,DeltaV_c);
Hopefully this helps, let me know if some assumptions I've made about your problem are incorrect.
