Kinematics is the subject that tells about the motion of object at any point by a body or system of body without discussing the forces or mass that cause it. It is a part of classical mechanics and has lots of applications in designing robots, aircraft and satellites.

The kinematics formulas are given by,
S = V$_i$t + $\frac{1}{2}$ at$^2$

V$_o$ = V$_i$ + at

V$_{o}^{2}$ = V$_{i}^{2}$ + 2as
Where,
S is the displacement in m,
Vi is the initial velocity in m/s,
V$_o$ is the final velocity in m/s,
a is the acceleration in m/s2,
t is the time taken in s.

## Kinematics Solved Problems

Let's see some kinematics examples below:

Question 1: Rishi rides a bike with 6 m/s of initial velocity. If he reaches his office after 2 min having a final velocity of 26 m/s.
Calculate the acceleration with which bike moves.
Solution:
Given: Initial velocity V$_i$ = 6 m/s, final velocity V$_o$ = 26 m/s, time taken t = 2 min = 120 s

The acceleration is given by,
a = $\frac{V_o - V_i}{t}$

a = $\frac{26 - 6}{120 s}$

a = 0.167 m/s2

Therefore, bike moves with 0.167 m/s$^2$ of acceleration.

Question 2: A four wheeler initially at rest experiences the acceleration of 8 m/s2 for a given time interval of 6 s. Calculate the distance it covers.
Solution:
Given: Initial velocity V$_i$ = 0, acceleration a = 8 m/s2, time taken t = 6s

The distance covered is given by,
S = V$_i$t + $\frac{1}{2}$ at$^2$

S = 0 + 0.5 $\times$ 8 $\times$ (6)2
S = 144 m.

Therefore, the four wheeler covers a distance of 144 m.