A particle is pushed horizontally by a constant horizontal force of magnitude F, which

Question

starts from the rest at x=0 in the positive ݔ direction. During the movement, it is also
acted by the air resistance force that equivalent to bv, where b is the positive coefficient
and v is the instantaneous velocity of the body.

a) Give the equation of motion of this object.
b) Determine the velocity of object at any time t.
c) Find out the acceleration of object at any time t.