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Mathematics, 27.02.2020 22:18 keatonjarvis

Let C be a smooth curve with parametrization r(t). We know from class that at time t its acceleration vector has the form

a(t) = aT(t)T(t) + aN(t)N(t),
where aT(t) and aN(t) are the tangential and normal components of the acceleration. Use this fact to show that, for each t, the vector r0(t)×r00(t) is parallel to B(t).

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Let C be a smooth curve with parametrization r(t). We know from class that at time t its acceleratio...
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