The position vector of a particle is r(t). Find the requested vector. 1. The velocity at t = pi/4 for r(t) = 2sec2(t) i - 6tan(t) j + 4t2 k. 2. The acceleration at t = 3 for r(t) = (5t - 2t4) i + (9 - t) j + (8t2 - 9) k.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The position vector of a particle is r(t). Find the requested vector.

1. The velocity at t = pi/4 for r(t) = 2sec2(t) i - 6tan(t) j + 4t2 k.

2. The acceleration at t = 3 for r(t) = (5t - 2t4) i + (9 - t) j + (8t2 - 9) k. 

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