The motion of a set of particles moving along the x-axis is governed by the differential...

The motion of a set of particles moving along the x-axis is governed by the differential equation

Where x (t) denotes the position at time t of the particle.

a) If a particle is located at x = 1 when t = 2, what is its velocity at this time?

b) Show that the acceleration of a particle is given by

(c) If a particle is located at x = 2 when t = 2.5, can it reach the location x = 1 at any later time?