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

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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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?
Solution
Transcribed Image Text: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? Solution
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