What is meant by kinematic equation of motion?

Answer 1

Simply put, kinematics is really just physics without forces or masses. That is, you deal with velocities, accelerations, time, etc. So a kinematic equation will have those variables.

The kinematic equation of motion could be any of the four equations I list, or any variation of them (they can be rewritten in a number of ways):

let d = distance, v = velocity, i = initial velocity, a = acceleration, t = time

v = i + at

d = it + (1/2)t2
v2 = i2 + 2ad

d = (1/2)(i + v)t

The equations describe the motion, whether it describing it's acceleration, velocity, distance traveled along a certain axis, all with respect to time.

Answer 2

There are four kinematic equations. Assuming acceleration is constant, the equations are:

1. vf = vo + a*t
2. xf = xo + vo*t + (1/2) a*t^2
3. vf^2 = vo^2 + 2*a*(xf-xo)
4. d = (vf + vo)/2 * t

On the variables: f indicates final value, o indicates original or initial value.

v = velocity

a = acceleration

x = position

d = distance

t = time

^ indicates an exponent (i.e. t^2 is t squared)

* indicates multiplication

Answer 3

1v = vo + at2vav = ½(vo + v)3x = xo + ½(vo + v)t4x = xo + vot + ½at²5v² = vo² + 2a(x - xo)6x = xo + vt - ½at²