Advanced Higher Mathematics Of Mechanics Practice Questions - Advanced Higher Mathematics Of Mechanics (Qualifications Scotland SCQF Level 7) Exam

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Which differential relationship correctly defines instantaneous acceleration a(t) for a particle moving in a straight line with displacement x(t) and velocity v(t)?

a = dx / dt a = dv / dt = d^2 x / dt^2 = v (dv / dx) a = integral of v dt a = v / x

Correct Answer:

a = dv / dt = d^2 x / dt^2 = v (dv / dx)

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