[justify]You had learnt the 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:[br][i]Anda telah mempelajari bahawa fungsi pecutan, a bagisuatu zarah yang bergerak secara linear ditentukan melalui pembezaan fungsi halaju, v terhadap masa, t, iaitu:[/i][br] [math]a=\frac{dv}{dt}[/math][br][br]However, if the acceleration function, a, of a particle is given, how can we determine the velocity function,v of the particle?[br][i]Jika diberi fungsi pecutan, a bagi gerakan linear suatu zarah,apakah cara untuk menentukan fungsi halaju, v zarah tersebut?[/i][br][br]When the acceleration function [math]a=\frac{dv}{dt}[/math], the velocity function, v can be determined by integrating the acceleration function, a with respect to time, t which is [math]v=\int a[/math]dt.[br][i][br]Apabila fungsi pecutan, a diberi, iaitu [math]a=\frac{dv}{dt}[/math][/i][i], fungsi halaju, v boleh ditentukan dengan melakukan pengamiran fungsi pecutan, a terhadap masa t, iaitu [math]v=\int a[/math] dt.[br][br][/i]In general, the relationship between acceleration function, a = h(t) and velocity function, v = g(t) can be simplified as follows:[br][i]Secara amnya, hubungan antara fungsi pecutan a = h(t) dan fungsi halaju v = g(t) boleh diringkaskan seperti berikut.[/i][br][/justify][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]

[justify]Given a velocity function, v, how can we determine the displacement, s, of the particle? How can we determine the velocity function, v, and alsoy the displacement function, s, of a particle from an acceleration function, a?[br][i]Jika diberi suatu fungsi halaju, v, bagaimanakah untuk menentukan fungsi sesaran, s, zarah itu? Bagaimanakah pula untuk menentukan fungsi halaju, v dan seterusnya fungsi sesaran, s suatu zarah daripada suatu fungsi pecutan, a?[/i][br][br]When the velocity function, v, is given as a function of time t, the displacement function, s, can be obtained by performing integration, which is:[br][i]Apabila fungsi halaju, v, diberi sebagai satu fungsi masa t, fungsi sesaran, s boleh diperoleh dengan melakukan pengamiran, iaitu[/i][br][br][b]s=∫ v dt[/b][br][br]and when the acceleration function, a, is given as a function of time t, the displacement function, s, can be obtained by performing two consecutive integrations, which are:[br][i]dan apabila fungsi pecutan, a, diberi sebagai satu fungsi masa t, fungsi sesaran, s, boleh diperoleh dengan melakukan pengamiran sebanyak dua kali secara berturut-turut,iaitu:[/i][br][/justify]