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A particle travels in space on a path described by r(t) (3,4,3r), osIst. a) Give a rough sketch of the path, including points corresponding to r= 0,1/2,1. b) How far does the particle travel along the path? c) Find the curvature of the path at t=1. What does the curvature indicate about the path at this time?

A particle travels in space on a path described by r(t) (3,4,3r), osIst. a) Give a rough sketch of the path, including points corresponding to r= 0,1/2,1. b) How far does the particle travel along the path? c) Find the curvature of the path at t=1. What does the curvature indicate about the path at this time?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A particle travels in space a path described by on r(t)= (3", 4r",31), 0sisi. a) Give a rough sketch of the path, including points corresponding to t=0,1/2,1. b) How far does the particle travel along the path? c) Find the curvature of the path at t=1. What does the curvature indicate about the path at this time?
Transcribed Image Text:2. A particle travels in space a path described by on r(t)= (3", 4r",31), 0sisi. a) Give a rough sketch of the path, including points corresponding to t=0,1/2,1. b) How far does the particle travel along the path? c) Find the curvature of the path at t=1. What does the curvature indicate about the path at this time?
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