An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.30 s and t = 3.90 s. 17.86 m/s (b) Determine the instantaneous speed at t = 2.30 s. m/s Determine the instantaneous speed at t = 3.90 s. m/s (c) Determine the average acceleration between t = 2.30 s and t = 3.90 s. m/s²

An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.30 s and t = 3.90 s. 17.86 m/s (b) Determine the instantaneous speed at t = 2.30 s. m/s Determine the instantaneous speed at t = 3.90 s. m/s (c) Determine the average acceleration between t = 2.30 s and t = 3.90 s. m/s²

Name: An object moves along the x axis according to the equation x = 3.20t²
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Description: An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds.(a) Determine the average speed between t = 2.30 s and t = 3.90 s.17.86m/s(b) Determine the instantaneous speed at t = 2.3

College Physics

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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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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds.
(a) Determine the average speed between t = 2.30 s and t = 3.90 s.
17.86
m/s
(b) Determine the instantaneous speed at t = 2.30 s.
m/s
Determine the instantaneous speed at t = 3.90 s.
m/s
(c) Determine the average acceleration between t = 2.30 s and t = 3.90 s.
m/s²
(d) Determine the instantaneous acceleration at t = 2.30 s.
m/s²
Determine the instantaneous acceleration at t = 3.90 s.
m/s²
(e) At what time is the object at rest?
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