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Find the velocity, acceleration, and speed of a particle with position function r(t) = (1t sin t, 1t cost, 9t²) v (t) = a(t) = || (t)|| (cos (t) — t sin (t)) -sin (t)- t cos (t)) 18 sqrt[(sin (t) + t cos (t))² + ( cos (t) — t sin (t))² + (18t)²]

Find the velocity, acceleration, and speed of a particle with position function r(t) = (1t sin t, 1t cost, 9t²) v (t) = a(t) = || (t)|| (cos (t) — t sin (t)) -sin (t)- t cos (t)) 18 sqrt[(sin (t) + t cos (t))² + ( cos (t) — t sin (t))² + (18t)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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The position function of a particle is given by r(t) = (3t², 1t, t²lt). At what time is the speed minimum? 0
Transcribed Image Text:The position function of a particle is given by r(t) = (3t², 1t, t²lt). At what time is the speed minimum? 0
Find the velocity, acceleration, and speed of a particle with position function r(t) = (1t sin t, 1t cost, 9t²) v(t) = 30 a(t) = (cos (t)-t sin (t)) (-sin (t) - t cos (t)), 18) || (t) || = sqrt[( sin (t) + t cos (t))² + ( cos (t) — t sin (t))² + (18t)²]
Transcribed Image Text:Find the velocity, acceleration, and speed of a particle with position function r(t) = (1t sin t, 1t cost, 9t²) v(t) = 30 a(t) = (cos (t)-t sin (t)) (-sin (t) - t cos (t)), 18) || (t) || = sqrt[( sin (t) + t cos (t))² + ( cos (t) — t sin (t))² + (18t)²]
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