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-The position of a particle is given by r(t) = sin 8t i + cos 3t j. Find the velocity vector for the particle.
A) cos 8t i - sin 3t j
B) 8 i + 3 j
C) 8 cos 8t i - 3 sin 3t j
D) 8 sin 8t i + 3 cos 3t j

Question

Quizplus · Accepted Answer

The velocity vector is found by taking the derivative of the position vector with respect to time, t. Differentiating sin 8t with respect to t gives 8 cos 8t, and differentiating cos 3t gives -3 sin 3t. Therefore, the velocity vector is 8 cos 8t i - 3 sin 3t j.

Provide an Appropriate Response