-2 5) The position of a particle for t > 0 is given by ř(t) = (3.0 t² î – 7.0 t³ĵ- 5.0 t-² 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? Assume all variables and constants are in SI units.
-2 5) The position of a particle for t > 0 is given by ř(t) = (3.0 t² î – 7.0 t³ĵ- 5.0 t-² 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? Assume all variables and constants are in SI units.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.2P
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The position of a particle for t > 0 is given by F(t) = (3.0 t? i - 7.0 t37 - 5.0 t-2 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? Assume all variables
and constants are in SI units.
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Step 1: Determine the given variables and definition of velocity,acceleration, speed and average velocity
VIEWStep 2: Calculate velocity, acceleration as a function of time and velocity at t=2sec
VIEWStep 3: Calculate the speed at t=1sec and t=3sec and average velocity between 1sec to 2sec.
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