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Year 12 Specialist (Unit 3 & 4) Modelling motion

Other expressions for acceleration

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Question 1
196979
The acceleration of a particle moving in a straight line is given as a function of its displacement \(x\) (time \(t\) does not appear). Which expression for the acceleration is the most appropriate to use to find \(v\) as a function of \(x\)?
A.
\(a=v\dfrac{dv}{dx}\)
B.
\(a=\dfrac{dv}{dt}\)
C.
\(a=\dfrac{dx}{dt}\)
D.
\(a=\dfrac{d^2v}{dx^2}\)
\(a=v\dfrac{dv}{dx}\)

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