The velocity of a particle is given by v(t) =t² - 2t. The position of the particle at the time t = 0 is S(0) = 0. 1. Find a formula for the position S(t) at time t. 2. Find the displacement of the object on [0,3]. 3. Find the total distance traveled by the particle on [0,3].

The velocity of a particle is given by v(t) =t² - 2t. The position of the particle at the time t = 0 is S(0) = 0. 1. Find a formula for the position S(t) at time t. 2. Find the displacement of the object on [0,3]. 3. Find the total distance traveled by the particle on [0,3].

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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Question

The velocity of a particle is given by v(t) =t² – 2t. The position of the particle at the
time t = 0 is S(0) = 0.
1. Find a formula for the position S(t) at time t.
2. Find the displacement of the object on [0,3].
3. Find the total distance traveled by the particle on [0,3].

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