acceleration function, a of a particle that moves linearly can be obtained by differentiating the velocity function, v with respect to time. t, that is:[math][/math] [br] [math]a=\frac{dv}{dt}[/math][br]When the acceleration function [math]a=\frac{dv}{dt}[/math][br] the velocity function, v can be determined by[br]integrating the acceleration function, a with respect to time, t which is [math]v=\int a[/math]dt.[br]In general, the relationship between acceleration function, a = h(t) and velocity function,[br]v = g(t) can be simplified as follows:[br][br][br] [math]a=h\left(t\right)[/math] [math]\longrightarrow[/math] [math]v=\int adt[/math] [math]\longrightarrow[/math] [math]v=g\left(t\right)[/math]