[熱身賽第二輪] 運動學(2) [Warm-up Round 2] Kinematics (2)

Big Concept: Kinematics Topic: Paricle's Linear Motion; Bloom's Taxonomy: Understand Learning Goal: Understand the difference of position, distance and displacement. Understand the definition of displacement, velocity and instantanious velocity. Understand the mathmetical relation of displacement, velocity and instantanious velocity as well as acceleration. Understand the time is an absolute Understand that time is defined as an absolute, universal, and continuous quantity that flows uniformly, independent of any external observer or physical process. Students can explain that the measured velocity and displacement values depend on the observer's reference frame; describe how the same object can have different velocities when observed from different frames; interpret measurements made in different reference frames; summarize that relative motion concepts connect different frames. Key Learning Points: Understand the concept of the basic principle of calculus. Such as instantaneous velocity v(t) = dx/dt = lim(Δt→0) Δx/Δt (derivative of position function with respect to time). Also, instantaneous acceleration a(t) = dv/dt = d?x/dt? (first derivative of velocity, second derivative of position). Velocity can be found from position by differentiation: v = dx/dt. Velocity can be found from acceleration by integration: v = ∫a dt + C. Position can be found from velocity by integration: x = ∫v dt + C. Analyzing the v-t diagram and find the acceleration and displacement from the diagram.