A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t), at time t > 0. Find the velocity vector of the particle at time t = 2. Use a calculator and round to three decimal places if necessary.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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A particle moving along a curve in the xy-plane has position (x(t), y(t)) =
(-9 sin(9t), 3t² + 10t), at time t > 0. Find the velocity vector of the particle at
time t = 2. Use a calculator and round to three decimal places if necessary.
Transcribed Image Text:A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t), at time t > 0. Find the velocity vector of the particle at time t = 2. Use a calculator and round to three decimal places if necessary.
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