Editor's Note: The Hyperloop is a totally imaginary transportation device that has captivated entrepreneur Elon Musk, who keeps talking about it. First imagined at least 100 years ago, it would ...

Velocity-time graphs show how the velocity (or speed) of a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, decelerating, or still.

Download the PDF of this article. In high-throughput applications, standard triangular or trapezoidal motion profiles have been widely utilized to reach a desired position quickly. As shown in the ...