About Modelling with first order differential equations

This unit lays the foundation of Newtonian mechanics and in particular the procedure for solving dynamics problems. The preresquisite skills needed for this unit are the ability to solve first and second-order differential equations, a knowledge of vectors, and an understanding of the concept of a force After studying this unit you should be able to: understand and use the basic terms for the description of the motion of particles: position, velocity and acceleration; understand, use and differentiate vector functions; understand the fundamental laws of Newtonian mechanics; solve mechanics problems in one dimension by drawing a sketch, choosing a suitable x-axis and origin, drawing a force diagram, applying Newtons second law, taking the x-component, and making suitable substitutions; solve mechanics problems in one dimension that involve one or more of the forces of gravity, friction, air resistance and water resistance; understand the concept of terminal velocity and use it in solving mechanics problems in one dimension.