**Physics Calculators** ▶ Kinematics Calculator

An online kinematics calculator that uses the equations of motion to solve motion calculations that involves the constant acceleration in a straight line. This kinematic equations solver determines the results for the initial, final velocity, displacement & time. In physics, the kinematics refers to the branch in which we study the motion of object without any force which causes the motion. Read on to completely know about the kinematic equations physics, how to find the unknown manually and much more. But ahead to some basics.

Also, you can try our online velocity calculator that helps you to find the velocity of the moving object corresponding to the different calculation parameters.

Read on!

The equations of motion relate the five variables that are listed below:

- Displacement (S)
- Time (t)
- Initial velocity (u)
- Final velocity (v)
- Constant acceleration (a)

For the calculation of time between the two different times or dates, try an online time calculator for the exact calculations of the time. Our kinematic equations calculator uses the following three equations to find the unknown variables:

- S = ut + Â½ at
^{2} - 2aS = v
^{2}-u^{2} - v = u + at

Where,

v & u are the initial and final velocities respectively and a is constant acceleration S is the displacement. For ease, you can also use our online acceleration calculator for the calculations of the acceleration of the moving object from the different calculation formulas.

The calculations for the moving object become very easy with this tool. Here we have some manual examples. After reading, you will be able to completely solve different kinematics equations:

Read on!

**Example 1:**

An object start with the velocity of 2ms^{-1} , after 8seconds attains the velocity of 30ms^{-1}. Determine the acceleration and the distance covered by the object?

**Solution:**

Here,

\(u = 2 ms^{-1}\)

\(v = 30 ms^{-1}\)

\(t = 8s\)

So,

By first equation of motion:

\(v = u + at\)

\(30 = 2 + a(8)\)

\(30-2 = 8a\)

\(28 = 8a\)

\(a = 28/8\)

\(a = 3.5ms^{-12}\)

Now, using second equation of motion:

\(S = ut + Â½ at^{2}\)

\(S = (2)(8) + Â½ (3.5)(8)^{2}\)

\(S = 16 + Â½ (3.5)(64)\)

\(S = 16 + Â½ (224)\)

\(S = 16 +112\)

\(S = 128m\)

**Example 2:**

A body moves with an acceleration of 4ms^{-2} in 14s and covers a displacement of 40m. Find the initial & final velocity of the body?

**Solution:**

Here,

\(a = 4ms^{-2}\)

\(t = 14s\)

\(S = 40m\)

From the second equation of motion:

\(S = ut + Â½ at^{2}\)

\(u = S – Â½ at^{2} / t \)

\(u = 40 – Â½ (4)(14)^{2}/ 14\)

\(u = 40 – Â½ (4)(196) / 14\)

\(u = 40 â€“ (0.5) (4)(196) / 14\)

\(u = 40 â€“ 392 / 14\)

\(u =â€“ 352 / 14\)

\(u = -25.14ms^{-1}\)

Now, using first equation:

\(v = u + at\)

\(v = -25.14 + 4*14\)

\(v = -25.14 + 56\)

\(v = 30.85ms^{-1}\)

It can be solve for the simple & easy data, when it comes to do the calculations for the complex data, then our kinematic calculator helps you to do the calculations for simple as well as complex data set.

Calculations become very easy for any variable in the equation of motion with the help of this tool. Our calculator determines the two variables given three variables as following:

- Find Acceleration & time | Given Distance, Initial & Final velocity.
- Find Distance & Acceleration | Given time, Initial & Final velocity.
- Find Distance & time| Given Acceleration, Initial & Final velocity.
- Find Distance & Initial velocity | Given Acceleration, time & Final velocity.
- Find Distance & final velocity | Given Acceleration, time & Initial velocity.
- Find Acceleration & final velocity | Given Distance, time & Initial velocity.
- Find Acceleration & Initial velocity | Given Distance, time & Final velocity.
- Find time & Final velocity | Given Distance, Acceleration & Initial velocity.
- Find time & Initial velocity | Given Distance, Acceleration & Final velocity.
- Find Initial & Final velocity | Given Distance, Acceleration & Time.

Just stick to the following steps for the exact calculation for any of two variables:

**Inputs:**

- First of all, choose which two variables you want to find from the dropdown menu.
- Then, enter the data in all the fields according to the selected option.
- Lastly hit the calculate button.

**Outputs:**

Once you fill all the fields, the calculator shows:

- Initial Velocity.
- Final Velocity.
- Displacement
- Acceleration
- Time
- Formulas that are used.

**Note:**

No matter, whatâ€™s your input is, the kinematics calculator shows you the outcomes according to your selected input parameters.

The acceleration is the rate of change of velocity of a moving object. Simply, dividing the velocity with the time taken by an object gives the acceleration of the object.

Kinematic variables including position, velocity & acceleration of body can be used to describe the state of rest or motion of the body. They are used in many real life fields like in mechanical engineering, biomechanics and robotics to describe the motion of engine, skeleton of human body or robot. So, to solve the kinematics formulas for any of the variable, you can try this online kinematics calculator that helps you to do the calculations for the state of the moving object accurately.

From the source of Wikipedia : General overview of Kinematics

From the site of Khanacademy : Kinematic formulas & Equation of motion

From the source of physicsclassroom : How to use the kinematic equations