Acceleration

Acceleration:

       It is the rate of change of velocity with time.
 If (V) is a vector that represents the velocity of a particle, then acceleration (a) of a particle is a vector obtained by differentiating(V) with respect to time(t)

                     ie,   a = dv/dt.

          The negative acceleration is retardation
          For a body moving in a circular part the acceleration is v²/r.

                  where,
                             (v) is the velocity of the object and
                             (r) is the radius of the circle.
      For uniform acceleration of a body in linear motion were can use the relation.
                                      

                                          

                                                 a = (v₂-v₁)/t

          v_{1 = initial velocity and} v₂= final velocity after time t.