# Kinematics Formulas

Kinematics Formula is altogether about the motion of bodies at points, devoid of considering the cause because of which it happens.

Kinematic formulas are three to be precise:

v=vo+at

v2=v2o+2a(x-xo)

$x-x_{0}=v_{o}t&space;+\frac{1}{2}at^{2}$

At this juncture,

x and xo are Final and Initial displacements articulated in m,
vo and v are initial and final velocity articulated in m/s,
acceleration is a and articulated in m/s2,
the time taken is t in s.

Kinematics Formulas – 2D

2 dimensional  or 2D kinematics equations is all about expressing the same equations in x and y directions:
In x direction the Kinematics formulas is articulated as:

vx = vxo + axt
x = xo + vxot +
1212 axt2
vx2 = vxo + 2ax(x-xo)

In y-direction the Kinematic formula is articulated as:

vy = vyo + ayt
y = xo + vyot + 1212 ayt2
vy2 = vyo+ 2ay(y – yo)

Kinematics Formulas for Projectile Motion

Imagine a projectile motion as presented in the figure.Thus, the kinematics formulas are:

In x-direction:

vx = vxo
x = xo + vxo

In y-direction:

v= vyo – gt
y = yo + vyot –
1212 gt2
vy2 = vyo2 – 2g(y – yo)

Kinematics Solved Examples

Underneath are solved Kinematics problems which helps you in understanding the use of these equations.

Problem 1: A guy is riding a bike with an initial velocity of 2 m/s. He reaches his destiny after 3s having a final velocity of 10m/s. Compute its acceleration?

Given: Initial Velocity vo = 2 m/s
Final velocity v = 10 m/s
Time period t = 3s
To find the acceleration a
Using the formula v = vo + at
Acceleration is given as:

$a=\frac{v-v_{0}}{t}$

$\frac{10m/s-2m/s}{3s}$

=2.76m/s2

Problem  2: A car with initial velocity zero experiences a uniform acceleration of 7 m/s2 for the time interval t= 5s. Compute its distance covered?

$S=v_{0}t&space;+\frac{1}{2}at^{2}$
$(0)\times(5)+\frac{1}{2}\times8m/s^{2}(5)^{2}$