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Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i, then find the particle's position at t = 2.

Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i, then find the particle's position at t = 2.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i + j and v(0) = i, then find the particle's position at t = 2. Let r(t) = sin(3t) i + cos(3t)j + 4tk. Find the following: 1) The curvature K 2) The length of the curve of r(t) from t = 0 to t = 2
Transcribed Image Text:Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i + j and v(0) = i, then find the particle's position at t = 2. Let r(t) = sin(3t) i + cos(3t)j + 4tk. Find the following: 1) The curvature K 2) The length of the curve of r(t) from t = 0 to t = 2
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