Analyzing motion Consider the position vector of the following moving objects.a. Find the normal and tangential components of the acceleration.b. Graph the trajectory and sketch the normal and tangential components of the acceleration at two points on the trajectory. Show that their sum gives the total acceleration. r(t) = 3t i + 14 - t2 j + t k, for t ≥ 0

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Analyzing motion Consider the position vector of the following moving objects.
a. Find the normal and tangential components of the acceleration.
b. Graph the trajectory and sketch the normal and tangential components of the acceleration at two points on the trajectory. Show that their sum gives the total acceleration.

r(t) = 3t i + 14 - t2 j + t k, for t ≥ 0

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