An observer moves so that his position, velocity, and accele

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An observer moves so that his position, velocity, and acceleration at time t are given by the formulas r.t / D x.t /i C

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An observer moves so that his position, velocity, and acceleration at time t are given by the formulas r.t / D x.t /i C y.t /j C z.t / k, v.t / D dr=dt, and a.t / D dv=dt. If the temperature in the vicinity of the observer depends only on position, T D T .x; y; z/, express the second time derivative of temperature as measured by the observer in terms of Dv and Da.

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