8.3 Pengamiran dalam Kinematik Gerakan Linear

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

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? 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? 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: Apabila fungsi halaju, v, diberi sebagai satu fungsi masa t, fungsi sesaran, s boleh diperoleh dengan melakukan pengamiran, iaitu s=∫ v dt 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: 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: