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Unformatted text preview: e t j3 k , if t 6 = 0; i + j , if t = 0. [20] 5. Find the position r ( t ) and velocity v ( t ) of an object having acceleration a ( t ) = e t i2 j , initial velocity v = ik , and initial position r = j . [30] 6. Let r ( t ) = t 2 i + 1 3 t 3 j2 t k . (a) Find the length of the curve between t = 1 and t = 2. (b) Find the tangential and normal components of acceleration a T and a N . (c) Find the curvature at t = 1....
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This note was uploaded on 04/04/2010 for the course MATH 113 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff
 Math, Algebra

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