The Production of the Velocity - Assignment Example

The core subject of this project is the production of the velocity and the position of a moving object being one function of time. In velocity, the object changes its position within a given time. It is therefore a derivative of acceleration and the position of time.

The integration of acceleration to generate velocity is shown below:
a (t) = [v(t + dt) – v(t)] / dt
a (t) = (d / dt) v(t)
a (t) = [x(t + dt) – 2x(ti) + x (t - dt)] / dt2
v (t) = [x (t + dt) – x(ti)]  / dt
v (t) = (d / dt) x(ti).

With the equation we have obtained for the velocity, we use it to generate the various positions of the moving body.

The code had the following fundamental elements:

For  Loops: Example: for iPointi = 2: NumPoints.

Matrix Manipulation: Example: The 3 by 6 matrix was loaded data from X17.mat

Using Statistical Program: The statistical program used was MatLab.

Plotting (2D & 3D). The 3D plots are in Figures 1, 2, and 3, while 2D plots were done in figure 4.

Use of built-in functions: Example: plot (tPlot, xPlot); figure (GCF); % Bringing forward the window fig.

Use of your functions. subplot (2, 3, 2);

The initial requirements were in the data loaded, after which the acceleration was integrated to generate the velocity. Velocity was integrated to generate the position of the moving body in a single for–loop. The only statistical tool used in this simulation was Matlab.