The position of a particle for t > 0 is given by r(t) = (9.0t²i – 5.0e³j – 9.0t-2k) m. (a) What is the velocity as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and v is in m/s. Do not include units in your answer.) v(t) = (b) What is the acceleration as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and a is in m/s?. Do not include units in your answer.) a(t) = (c) What is the particle's velocity at t = 2.0 s (in m/s)? (Express your answer in vector form.) v(2.0 s) = m/s (d) What is its speed at t = 1.0 s and t = 3.0 s (in m/s)? v(1.0 s) = m/s v(3.0 s) = m/s (e) What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.) Vavg m/s

The position of a particle for t > 0 is given by r(t) = (9.0t²i – 5.0e³j – 9.0t-2k) m. (a) What is the velocity as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and v is in m/s. Do not include units in your answer.) v(t) = (b) What is the acceleration as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and a is in m/s?. Do not include units in your answer.) a(t) = (c) What is the particle's velocity at t = 2.0 s (in m/s)? (Express your answer in vector form.) v(2.0 s) = m/s (d) What is its speed at t = 1.0 s and t = 3.0 s (in m/s)? v(1.0 s) = m/s v(3.0 s) = m/s (e) What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.) Vavg m/s

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Description: The position of a particle for t > 0 is given by r(t) = (9.0t²î – 5.0t³j – 9.0t-2k) m.(a) What is the velocity as a function of time? (Express your answer in vector form. Use the following as necessary: t. Assume t is in seconds and v is in m/s. Do

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...

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