The Study of Free Fall Provides One Context to Consider $\frac { d v } { d t }$

Essay

The study of free fall provides one context to consider differential equations. In the simplest case, in the absence of air or other resistance, physicists assume that the rate of change of velocity of a body is constant.(a) Write an equation for $\frac { d v } { d t }$ .(b) As the time $t$ increases without bound, what happens to the velocity $\mathcal { V }$ ?