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 $

Kinematics Calculator

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