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The position of a particle after t seconds is given by r(t) = (t2²,4t, 4 lnt) for t≥ 1. (a) Calculate the position, velocity, and acceleration of the particle when t = 2. (b) Calculate the total distance traveled by the particle from t = 1 to t-e². (c) Is the object speeding up or slowing down at t-e² seconds?

The position of a particle after t seconds is given by r(t) = (t2²,4t, 4 lnt) for t≥ 1. (a) Calculate the position, velocity, and acceleration of the particle when t = 2. (b) Calculate the total distance traveled by the particle from t = 1 to t-e². (c) Is the object speeding up or slowing down at t-e² seconds?

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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Fast pls solve this question correctly in 5 min pls I will give u like for sure

 Please solve part (c).

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The position of a particle after t seconds is given by r(t) = (t², 4t, 4 lnt) for t≥1. (a) Calculate the position, velocity, and acceleration of the particle when t = 2. (b) Calculate the total distance traveled by the particle from t - 1 to t-e². (c) Is the object speeding up or slowing down at t - e² seconds?
Transcribed Image Text:The position of a particle after t seconds is given by r(t) = (t², 4t, 4 lnt) for t≥1. (a) Calculate the position, velocity, and acceleration of the particle when t = 2. (b) Calculate the total distance traveled by the particle from t - 1 to t-e². (c) Is the object speeding up or slowing down at t - e² seconds?
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