Escape velocity of a body and the delivered velocity required to achieve it in different situations

Abstract

The escape velocity of an object and the necessary supplied velocity to achieve it are calculated in this paper for several situations of the body, such as from rest, in free fall, and in orbit (several orbital cases are studied). This article clearly and concisely shows that escape velocity and supplied velocity are different magnitudes, as these concepts often cause confusion for students. To address this issue, different initial situations of the body that tries to escape are studied to show in the clearest and the most generic possible way the strategies to address escape problems without conceptual errors.