29. The position of a particle for t> 0 is given by r(t) = (3.0t² Î-7.0t³ -5.0t² k) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle's velocity at t= 2.0 s? (d) What is its speed at t= 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s? Solution

29. The position of a particle for t> 0 is given by r(t) = (3.0t² Î-7.0t³ -5.0t² k) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle's velocity at t= 2.0 s? (d) What is its speed at t= 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s? Solution

Name: 29. The position of a particle for t> 0 is given by r(t) = (3.01² i-7
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Description: 29. The position of a particle for t> 0 is given by r(t) = (3.01² i-7.0t³ -5.0t² k) m. (a) Whatis the velocity as a function of time? (b) What is the acceleration as a function of time? (c) Whatis the particle's velocity at t = 2.0 s? (d) What is it

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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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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29. The position of a particle for t> 0 is given by r(t) = (3.01² i-7.0t³ -5.0t² k) m. (a) What
is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What
is the particle's velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is
the average velocity between t= 1.0 s and t = 2.0 s?
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