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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 43E
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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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