(11) A particle, initially at rest, moves along the x -axis such that its acceleration at time 1>0 is given by at) = cost. At the time = 0, its position is S(t) =3 (i) Find the velocity and position functions of the particle
(11) A particle, initially at rest, moves along the x -axis such that its acceleration at time 1>0 is given by at) = cost. At the time = 0, its position is S(t) =3 (i) Find the velocity and position functions of the particle
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![(11) A particle, initially at rest, moves along the *-axis such that
its acceleration at time >0 is given byat) = cos t. At the time 1= 0,
its position is S(t) = 3
(i) Find the velocity and position functions of the particle
(ii)Find the values of for which the particle is at rest.
(b)Solve the differential equation (that is, find f®))
f"(0) = sin0 + cos0 f'(0) = 4, f(0) = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd30902f2-0e48-4c99-aa00-effc77ec0f7b%2F891f0607-c5a9-455e-85b5-ba07c983b287%2Fiks3fhr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(11) A particle, initially at rest, moves along the *-axis such that
its acceleration at time >0 is given byat) = cos t. At the time 1= 0,
its position is S(t) = 3
(i) Find the velocity and position functions of the particle
(ii)Find the values of for which the particle is at rest.
(b)Solve the differential equation (that is, find f®))
f"(0) = sin0 + cos0 f'(0) = 4, f(0) = 3
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