Find the acceleration of a particle moving along the curve r(t) = t³ i + (8 + 4t)j - t² k at t = 1. A) 3i + 4j - 2k B) 6i - 2k C) 3i + 4j + 2k D) 0 E) 3i - 4j - 2k

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Quizplus · Accepted Answer

The acceleration is the second derivative of the position vector r(t). First, find the velocity by differentiating r(t): v(t) = 3t^2 i + 4j - 2t k. Then, differentiate again to find the acceleration: a(t) = 6t i - 2k. At t = 1, a(1) = 6i - 2k.

Find the Acceleration of a Particle Moving Along the Curve