   Chapter 13.4, Problem 10E

Chapter
Section
Textbook Problem

# Find the velocity, acceleration, and speed of a particle with the given position function.10. r(t) = ⟨2 cos t, 3t, 2 sin t⟩

To determine

To find: The velocity of a particle.

Explanation

Given:

r(t)=2cost,3t,2sint.

Formula used:

Write the expression to find the velocity.

v(t)=r(t)

v(t)=ddt[r(t)] (1)

Substitute 2cost,3t,2sint for r(t) in equation (1),

v(t)=ddt(

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