Rectilinear Motion In Exercises 65-68, consider a particle moving along the x-axis, where x(t) is the position of the particle at time t, x’(t) is its velocity, and x’’(t) is its acceleration.
A particle, initially at rest, moves along the x-axis such that its acceleration at time is given by . At time , its position is
(a) Find the velocity and position functions for the particle.
(b) Find the values of t for which the particle is at rest.
