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25. (II) Suppose the position of an object is given by i = (3.01²i – 6.0 t° j) m. (a) Determine its velocity v and acceleration ā, as a function of time. (b) Determine ī and v at time t = 2.5 s. %3D 21

25. (II) Suppose the position of an object is given by i = (3.01²i – 6.0 t° j) m. (a) Determine its velocity v and acceleration ā, as a function of time. (b) Determine ī and v at time t = 2.5 s. %3D 21

College Physics
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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25. (II) Suppose the position of an object is given by f = (3.0t²î – 6.0 t° j) m. (a) Determine its velocity v and acceleration ā, as a function of time. (b) Determine i and v at time t = 2.5 s. %3D 4) ở = (6ti-18t5)¾ P=(192- 943)m ū = (15?~1105)m
Transcribed Image Text:25. (II) Suppose the position of an object is given by f = (3.0t²î – 6.0 t° j) m. (a) Determine its velocity v and acceleration ā, as a function of time. (b) Determine i and v at time t = 2.5 s. %3D 4) ở = (6ti-18t5)¾ P=(192- 943)m ū = (15?~1105)m
Expert Solution
Step 1

Answer

Given data

Position r = 3.0t2i^ -6.0t3j^m

We have to find velocity and acceleration.

To get velocity differentiate position r with respect to time 

To get acceleration differentiate velocity v with respect to time

 

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