A particle moves along the x axis. Its x coordinate varies with time according to the expression x = 3t° – 2t +5, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t=1s to t=3s. b) Calculate the average velocity in the time intervals t=1s to t=3s. c) Find the instantaneous velocity of the particle at t=2.5s. d) Calculate the average acceleration in the time intervals t=1s to t=3s. e) Find the instantaneous acceleration of the particle at t=2.5s.

A particle moves along the x axis. Its x coordinate varies with time according to the expression x = 3t° – 2t +5, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t=1s to t=3s. b) Calculate the average velocity in the time intervals t=1s to t=3s. c) Find the instantaneous velocity of the particle at t=2.5s. d) Calculate the average acceleration in the time intervals t=1s to t=3s. e) Find the instantaneous acceleration of the particle at t=2.5s.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

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A particle moves along the x axis. Its x coordinate varies with time according to the expression x = 3t° – 2t +5, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t=1s to t=3s. b) Calculate the average velocity in the time intervals t=1s to t=3s. c) Find the instantaneous velocity of the particle at t=2.5s. d) Calculate the average acceleration in the time intervals t=1s to t=3s. e) Find the instantaneous acceleration of the particle at t=2.5s.
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