Rectilinear Motion In Exercises 8790, consider a particle moving along the -axis where

Chapter 5, Problem 90

(choose chapter or problem)

Rectilinear Motion

In Exercises 87–90, consider a particle moving along the -axis where x(t) is the position of the particle at time t, x^{\prime}(t) is its velocity, and x^{\prime \prime}(t) is its acceleration.

A particle, initially at rest, moves along the x - axis such that its acceleration at time t > 0 is given by a(t) = cos t. At the time t = 0, its position is x = 3.

(a) Find the velocity and position functions for the particle.

(b) Find the values of t for which the particle is at rest.

Equation Transcription:

Text Transcription:

x^prime (t)

x^prime ^prime (t)