How is velocity obtained from displacement?
Differentiate with respect to time: v=dxdtv=\frac{dx}{dt}v=dtdx.
The displacement from t=t1t=t_1t=t1 to t=t2t=t_2t=t2 is ∫t1t2v dt\int_{t_1}^{t_2}v\,dt∫t1t2vdt, which is not necessarily the total distance travelled.
The displacement from t=t1t=t_1t=t1 to t=t2t=t_2t=t2 is ∫t1t2v dt\boxed{\int_{t_1}^{t_2}v\,dt}∫t1t2vdt, which is not necessarily the total distance travelled.
Velocity and acceleration with the same sign mean speed is increasing; opposite signs mean speed is decreasing.
4.1.1 Kinematics (A-level only) Flashcards
Flashcards for CCEA A Level Maths 4.1.1 Kinematics (A-level only), covering the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2. 21 cards, matched to the CCEA A Level Maths (2210) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.