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The Falling Body Problem in Quantum Calculus

2020
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Frontiers in Physics
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The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first time. The q-differential equations describing the vertical velocity and distance of the body are obtained. Accordingly, exact expressions for the vertical velocity and the vertical distance are provided. The solutions are expressed in terms of the

doi:10.3389/fphy.2020.00043
fatcat:kvt47tmb5bcend3chqfbkshco4