19 5.G0r(3),r(3.2)X17. A particle moves with position functionr(t) = t Inti + tj + e¯'k. Find the velocity, speed, andacceleration of the particle.18. Find the velocity, speed, and acceleration of a particle moy-ing with position function r(t) = (2t² − 3) i + 2tj. Sketchthe path of the particle and draw the position, velocity, andacceleration vectors for t = 1.19. A particle starts at the origin with initial velocityi − j + 3 k. Its acceleration is a(t) = 6t i + 12Find its position function.12t²j- 6tk.20. An athlete throws a shot at an angle of 45° to the horizontalat an initial speed of 43 ft/s. It leaves his hand 7 ft abovethe ground.(a) Where is the shot 2 seconds later?(b) How high does the shot go?(c) Where does the shot land?21. A projectile is launched with an initial speed of 40 m/sfrom the floor of a tunnel whose height is 30 m. Whatangle of elevation should be used to achieve the maximumpossible horizontal range of the projectile? What is themaximum range?22. Find the tangential and normal components of the accelera-tion vast

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Description: 19 5.G0r(3),r(3.2)X17. A particle moves with position functionr(t) = t Inti + tj + e¯'k. Find the velocity, speed, andacceleration of the particle.18. Find the velocity, speed, and acceleration of a particle moy-ing with position function r(t) = (2t²

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Answered: 19. A particle starts at the origin…

Science

Physics

19. A particle starts at the origin with initial velocity i- j + 3k. Its acceleration is a(t) = 6ti + 12t²j - 6tk. Find its position function.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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