expression x= 3t³ – 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.

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 5P: A positiontime graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the...
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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.
Transcribed Image Text: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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