# Kinematics Formulas

## 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)

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 = vyo2 + 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:
vy = vyo – gt

y = yo + vyot –1212 gt2

vy2 = vyo2 – 2g(y – yo)

### Kinematic Equation Formulas

 $v=v_{0}+at$ $\Delta x=(\frac{v+v_{0}}{2})t$ $\Delta x=v_{0}t+\frac{1}{2}at^{2}$ $v^{2}=v_{0}^{2}+2a\Delta x$

### 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?

Initial Velocity vo = 2 m/s
Final velocity v = 10 m/s
Time period t = 3s
To find the acceleration aUsing 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?

$S=v_{0}t&space;+\frac{1}{2}at^{2}$
$(0)\times(5)+\frac{1}{2}\times8m/s^{2}(5)^{2}$=100m