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1. The position of an object moving in space is given by R(t) = (cos 2t)i + (sin 2t)j + tk a. Find the velocity and acceleration of the object at arbitrary time t. b. Determine the curvature of the trajectory at time t.

1. The position of an object moving in space is given by R(t) = (cos 2t)i + (sin 2t)j + tk a. Find the velocity and acceleration of the object at arbitrary time t. b. Determine the curvature of the trajectory at time t.

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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1. The position of an object moving in space is given by R(t) = (cos 2t)i + (sin 2t)j + tk a. Find the velocity and acceleration of the object at arbitrary time t. b. Determine the curvature of the trajectory at time t.
Transcribed Image Text:1. The position of an object moving in space is given by R(t) = (cos 2t)i + (sin 2t)j + tk a. Find the velocity and acceleration of the object at arbitrary time t. b. Determine the curvature of the trajectory at time t.
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The position of an object moving in space is given by,

R(t) = (cos2t)i+(sin2t)j+tk

 

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