   Chapter 13.4, Problem 5E

Chapter
Section
Textbook Problem

# Find the velocity, acceleration, and speed of a panicle with the given position function. Sketch the path of the particle and draw the velocity and acceleration vectors for the specified value of t.5. r(t) = 3 cos t i + 2 sin t j, t = π/3

To determine

To find: The velocity of a particle at t=π3.

Explanation

Given:

r(t)=3costi+2sintj and t=π3.

Formula used:

Write the expression to find the velocity.

v(t)=r(t)

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

Substitute 3costi+2sintj for r(t) in equation (1),

v(t)=ddt(3costi+2sintj)=ddt(3costi)+d

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