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)√2542

i. Here we have given that the acceleration on an object is, at=-ti+4j+4-tk we know that, vt=∫atdt…

Answered: Exercises: 1. An object moves in space…

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. +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.