Features of Projectile Motion in Quantum Calculus.

In this paper, the equation of motion of a projectile in a resistive medium is revisited in view of quantum calculus. Quantum calculus, abbreviated as q-calculus is a recently recognized unconventional type of calculus in which q-derivatives of a real function can be obtained without limit. In order to describe the motion of a 2-D projectile, vertical and horizontal components of velocity in terms of q-differential equations are presented in accordance with the exact classical expressions. The solutions are obtained in terms of the small q-exponential function. Features of a projectile are also deducted one by one for relevance. It is also found that, when the parameter q→1, the present solutions and all the features take the form as they are in general Newtonian classical mechanics. [ABSTRACT FROM AUTHOR]