A particle moves according to a law of motion s = (t), osts 12, where t is measured in seconds and s in feet.(1) = cos(t/6)(a) Find the velocity at time t (in ft/s).v(t) =(b) What is the velocity after 1 s? (Round your answer to two decimal places.)v(1) =R/s(c) When is the particle at rest?s (smallest value)s (largest value)(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 12 s.(1) Find the acceleration at time t (in ft/s).a(t) =Find the acceleration after 1 s. (Round your answer to two decimal places.)a(1) =|rt/s2(9) Graph the position, velocity, and acceleration functions for 0 sts 12.yy.1.01.0is0.50.59.To9.To12-0.5-0.5-1.0-1.01.01.00.50.5124-0.5-0.5-1.0-1.0(h) When is the particle speeding up? (Enter your answer using interval notation.)When is it slowing down? (Enter your answer using interval notation.)

Given : s=cosπt6 In this question we have to find the velocity first and then the values of velocity…

A particle moves according to a law of motion s = (t), 0 sts 12, where t is measured in seconds and s in feet. Re) = cos(mt/6) (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 1 s? (Round your answer to two decimal places.) v(1) = t/s (c) When is the particle at rest? Js (smallest value) s (largest value)

A particle moves according to a law of motion s = (t), 0 sts 12, where t is measured in seconds and s in feet. Re) = cos(mt/6) (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 1 s? (Round your answer to two decimal places.) v(1) = t/s (c) When is the particle at rest? Js (smallest value) s (largest value)

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 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...

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