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How is velocity obtained from displacement?
A
Differentiate with respect to time: v=dxdtv=\frac{dx}{dt}v=dtdx.
B
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.
C
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.
D
Velocity and acceleration with the same sign mean speed is increasing; opposite signs mean speed is decreasing.
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4.1.1 Kinematics (A-level only) Flashcards
21 flashcards on CCEA A Level Maths 4.1.1 Kinematics (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.