A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 - 0.03t3 (a) Find the velocity at timet (in ft/s). v(t) = (b) What is the velocity after 1 second(s)? v(1) = ft/s %3D (c) When is the particle at rest? smaller value larger value t = (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 9 seconds. (Round your answer to two decimal places.) (f) Find the acceleration at time t (in ft/s2). a(t): Find the acceleration after 1 second(s). a(1) = ft/s2

A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 - 0.03t3 (a) Find the velocity at timet (in ft/s). v(t) = (b) What is the velocity after 1 second(s)? v(1) = ft/s %3D (c) When is the particle at rest? smaller value larger value t = (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 9 seconds. (Round your answer to two decimal places.) (f) Find the acceleration at time t (in ft/s2). a(t): Find the acceleration after 1 second(s). a(1) = ft/s2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

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