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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 moves along the x-axis at a velocity of At time , its position is . Find the acceleration and position functions of the particle.
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.
A particle moves along the x-axis in such a way that itsposition at time t is given by x(t) = (1-t)/(1+t).? What is theacceleration of the particle at time t=0?