   Chapter 13.4, Problem 9E

Chapter
Section
Textbook Problem

# Find the velocity, acceleration, and speed of a particle with the given position function.9. r(t) = ⟨t2 + t, t2 − t, t3⟩

To determine

To find: The velocity of a particle.

Explanation

Given:

r(t)=t2+t,t2t,t3.

Formula used:

Write the expression to find the velocity.

v(t)=r(t)

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

Substitute t2+t,t2t,t3 for r(t) in equation (1),

v(t)=ddt(t2+t,t2t,t3)=ddt

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