Kinematic equations for uniformly accelerated motion

 

 

There are 3 kinematic equations of rectilinear motion for constant acceleration

Position of object at time t=0 is 0

Position of object at time t=0 is x0

v = v0 + at

v = v0 + at

x = v0t + ½ at2

x = x0+ v0t + ½ at2

v2 = v02 + 2ax

v2 = v02 + 2a(x-x0)

 


Relative Velocity

This is the velocity of an object relative to some other object which might be stationary, moving slowly, moving with same velocity, moving with higher velocity or moving in opposite direction.

If initial position of two objects A and B are xA (0) and xB (0), the position at time t will be,


  • xA (t) = xA (0) + vA t
  • xB (t) = xB (0) + vB t
  • Displacement from object A to B, [ xB (0) - xA (0) ] + (vB -vA)t
  • Velocity of B relative to A = vBA = vB – vA
  • Velocity of A relative to B = vAB = vA – vB