The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t= 1. Write the particle's velocity at that time as the product of its speed and direction. + 1) + 1²³] < r(t)= (4 In (t+1))i+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors.
Then find the particle's speed and direction of motion at t= 1. Write the particle's velocity at that time as the product of
its speed and direction.
+ 1)) + 1² ) + 1/²x
r(t)= (4 In (t+1))i +
Transcribed Image Text:The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t= 1. Write the particle's velocity at that time as the product of its speed and direction. + 1)) + 1² ) + 1/²x r(t)= (4 In (t+1))i +
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