Displaying projectile in a resisting medium for two dimension have two forms; An Ordinary differential equation and a fractional differential equation describe its behavior. The two equations include ...

You have entered a “throw a cricket ball as far as you can” competition. The ball ways 160 g, and will experience a drag force Dv 2 . Take D=1 g/m. You can release the ball at a height of 1.8 m from ...

I wish Angry Birds had been around when I was teaching high school physics. Please don’t think of the game as a hate crime against hogs, or an avian anger management program—instead, think of it as a ...

Suppose you throw some object near the surface of the earth. If the only significant force on the object is the constant downward gravitational force, we call this "projectile motion." Yes, that ...

The study of stochastic differential equations (SDEs) has long been a cornerstone in the modelling of complex systems affected by randomness. In recent years, the extension to G-Brownian motion has ...

Abstract: We present in this paper a novel approach to the long-standing problem of motion planning for non-holonomic systems. Our method is built upon a parabolic partial differential equation that ...