**Note**
- Enter the values of the three known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

The

Kinematics equations used for solving the question is

$v= u +at$

$s =ut + \frac{1}{2}at^2$

$v^2 = u^2 + 2as $

## What is Kinematics Equations

Kinematics Equations is set of three equations which is used for motion in a straight line with constant acceleration. The equation are

$v= u +at$

$s =ut + \frac{1}{2}at^2$

$v^2 = u^2 + 2as $

Here

v-> Final Velocity (m/s)

u -> initial Velocity (m/s)

t -> Time taken (sec)

a -> Acceleration (m/s

^{2})

s- > displacement ( m)

We can input the known values and get the unknown values from these set of equation easily

**Example of Few questions where you can use this Kinematics Solver**
**Question 1**
A particle start with velocity 2 m/s and attained a velocity 10 m/s in 4 sec.Find

acceleration and displacement

**Solution**
u = 2m/s, v=10 m/s,t= 4 sec, a=? , s=?

From Ist equation

$v=u+at$

$a=\frac {v- u}{t}$

$a= \frac {10 -2}{4} = 2 \ m/s^2$

From Second Equation

$s= ut + \frac {1}{2}at^2$

$s= 2 \times 4 + \frac {1}{2} \times 2 \times (4)^2= 24 \ m $

**Question 2**
A particle start with initial velocity 5 m/s and have acceleration 2m/s

^{2} .Find the final velocity and displacement after 5 sec.

**Solution**
Here u =5 m/s a= 2m/s

^{2}, t=5 sec, v=? s =?

From Ist equation

$v= u + at$

$v = 5 + 2 \times 5 = 15 / m/s$
From Second Equation

$s= ut + \frac {1}{2}at^2$

$s= 5 \times 5 + \frac {1}{2} \times 2 \times (5)^2= 50 \ m $

**Question 3**
A object moves with acceleration 2m/s

^{2} for 2 sec and cover a displacement of 10 m .Find the initial velocity and Final velocity.

**Solution**
a=2m/s

^{2}, t=2 sec, s=10 m, v=?, u=?

From Second Equation

$s= ut + \frac {1}{2}at^2$

$u= \frac { s - \frac {1}{2}at^2}{t}$

$u = \frac { 10 - .5 \times 2 \times 2^2}{2} =3 \ m/s$

From Ist equation

$v= u + at$

$v= 3 + 2 \times 2 = 7 \ m/s$

## How the Kinematic Equations Calculator works

1. If final velocity ,initial velocity and time are given

$a= \frac {v- u}{t}$

$s= ut + \frac {1}{2}at^2$

2. If final velocity ,initial velocity and acceleration are given

$t= \frac {v- u}{t}$

$s= ut + \frac {1}{2}at^2$

3. If final velocity ,initial velocity and displacement are given

$a = \frac {v^2 -u^2}{2s}$

$t= \frac {v- u}{a}$

4. if Acceleration, time and initial velocity is given

$v= u + at$

$s= ut + \frac {1}{2}at^2$

5. if Acceleration, time and final velocity is given

$u= v - at$

$s= ut + \frac {1}{2}at^2$

6. if Acceleration, time and displacement is given

$u= \frac {s - .5 at^2}{t}$

$v= u + at$

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