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Exercises: 1. An object moves in space with acceleration. +4j+(4-t)k. alt (t) = -ti When t = 0, it is known that the object is at the point (1,0,1) and it has velocity, v (0) = 3i – 5j + 4k. i. Find v(t) and r(t). - ii. What is the speed of this object at t = 1.

Exercises: 1. An object moves in space with acceleration. +4j+(4-t)k. alt (t) = -ti When t = 0, it is known that the object is at the point (1,0,1) and it has velocity, v (0) = 3i – 5j + 4k. i. Find v(t) and r(t). - ii. What is the speed of this object at t = 1.

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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Exercises: 1. An object moves in space with acceleration. (t) = −ti +4j+(4-t)k. When t = 0, it is known that the object is at the point (1,0,1) and it has velocity, v (0) = 3i − 5j + 4k. i. Find v(t) and r(t). ii. What is the speed of this object at t = 1. Answer: (ii) √254 2
Transcribed Image Text:Exercises: 1. An object moves in space with acceleration. (t) = −ti +4j+(4-t)k. When t = 0, it is known that the object is at the point (1,0,1) and it has velocity, v (0) = 3i − 5j + 4k. i. Find v(t) and r(t). ii. What is the speed of this object at t = 1. Answer: (ii) √254 2
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