   Chapter 13.4, Problem 13E

Chapter
Section
Textbook Problem

# Find the velocity, acceleration, and speed of a particle with the given position function.13. r(t) = et (cos t i + sin t j + t k)

To determine

To find: The velocity of a particle.

Explanation

Given:

r(t)=et(costi+sintj+tk).

Formula used:

Write the expression to find the velocity.

v(t)=r(t)

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

Substitute et(costi+sintj+tk) for r(t) in equation (1),

v(t)=ddt(et(costi+sintj+tk))=(costi+sintj+tk)ddt(et)+

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