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. (If an answer does notexist, enter DNE.)f(t) = t3 - 9t2 + 24t(a) Find the velocity (in ft/s) at time t.- (3² – 181 + 24)v(t) =v ft/s(b) What is the velocity (in ft/s) after 1 second?v(1) = 9v ft/s(c) When is the particle at rest? (Enter your answers as a comma-separated list.)t = 2,4(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)(0,2) U (4,00)(e) Drawdiagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6seconds.44ft(f) Find the acceleration (in ft/s2) at time t.a(t) =-12X ft/s2Find the acceleration (in ft/s2) after 1 second.a(1) =ft/s2(g) Graph the position, velocity, and acceleration functions for 0 sts 6.302010아126- 10a30아20아a10아- 103020!a10-10 (g) Graph the position, velocity, and acceleration functions for 0 sts 6.30201아126-10a3020106.-103020a10-1030201056-10(h) When is the particle speeding up? (Enter your answer using interval notation.)When is it slowing down? (Enter your answer using interval notation.)

NOTE : As per bartleby guidelines we can answer only first 3 sub-parts of a given question. For…

A particle moves according to a law of motions = f(t), t 2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = - 9e? + 24t (a) Find the velocity (in ft/s) at time t. v(t) = (32 – 4) 18t + 2 ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t = 2.4

A particle moves according to a law of motions = f(t), t 2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = - 9e? + 24t (a) Find the velocity (in ft/s) at time t. v(t) = (32 – 4) 18t + 2 ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t = 2.4

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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