# SUVAT Calculator

SUVAT is an acronym of the five variables in physics which play crucial rule in-laws of motion and newton mechanics that describe a system in motion with constant acceleration: displacement s, initial velocity u, final velocity v, acceleration a, and time t in a given frame of space.

### SUVAT Formulas

The major SUVAT formulas describe all most all the things in motion on a uniform platform or a straight line, as long it is driven by uniform acceleration. The first equation of SUVAT in terms of velocity is **v = u + at**

The second equation of motion of SUVAT is as follows: **s = 1/2(u + u + at) * t**, (this equation is used to determine the displacement of the object covered)

And for the object which starts from rest with a constant velocity throughout its motion under the constant force. s = ut + 1/2 at^{2}.

The last and the third equation of motion and SUVAT is slightly complex and it is made by adding the first two equations of the motion. **s = 1/2(u + v)((v - u) / a)**

- Where, ‘S’ stands for the displacement done by the object.
- ‘U’ stands for the initial velocity of the object,
- ‘V’ stands for the final velocity of the object,
- ‘A’ stands for acceleration under which an object is moving and
- ‘T’ stands for the time taken to complete the whole motion.

### How does the SUVAT Calculator Work?

The SUVAT calculator works on the principle of the laws of motion in a straight line or in a plane, to solve the questions related to this the user needs to do the following

- Provide input for the values such as initial velocity (u), final velocity (v), time taken for the whole motion to get completed(t), acceleration by the system(a), and the displacement of the system (s) in the calculator.
- The calculator works on the principle of the laws of motion and hence once after getting all the inputs, the calculator will substitute the corresponding values and solve the problem.
- The final answer to the problem will be displayed as the solution in the output box of the calculator.

### Solved Examples on SUVAT

**Question 1:** A bus starting from rest moves with a uniform acceleration of 0.1 ms-2 for 2 minutes. Find the speed acquired and the distance traveled by bus

**Solution:**

Given:

The bus starts from rest and then moves with a uniform acceleration of 0.1 m/s² for 2 following minutes

The bus starts from rest and hence we can consider its initial velocity (u) is 0 m/s

The Acceleration (a) of bus is given as = 0.1 m/s²

Time is given as = 2 minutes which means 120 s

Acceleration is given by the equation a=(v-u)/t

Therefore, terminal velocity (v) by the first law of SUVAT = (at)+u

Substituting the values we get, 12m/s

Since it is solved as that a = 0.1 m/s², v = 12 m/s, u = 0 m/s, and t = 120s, the following value for s (distance) can be obtained.

Therefore, s = 720 m.

The speed acquired by bus is 12 m/s and the total distance traveled by it is 720 m.

**Question 2:** A train is traveling at a speed of 90 km/h. Brakes are applied so as to produce a uniform acceleration of –0.5 m/s². Find how far the train will go before it is brought to rest?

**Solution:**

Given:

The initial velocity (u) of the train= 90 km/hour which can be converted as 25 m/s

The Terminal velocity (v) of the train is 0 m/s as sudden brakes are applied.

The Acceleration of the train is (a) = -0.5 m/s²

As per the third equation of motion law Formula

(v²-u²) = 2as

And hence we can say that,

The distance travelled by train (s) =(v²-u²)/2a

On substituting the known values in this equation, we get

= 625 meters

And hence the train must travel 625 meters at an acceleration of -0.5 m/s² before it reaches the rest position by applying the brakes.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### FAQs on SUVAT Equations Calculator

**1. What is the difference between the ‘v’ and ‘u’ in the equation of the motion?**

‘U’ stands for the initial velocity of the object and ‘v’ stands for the final velocity of the object.

**2. What is the equation for SUVAT?**

The full set of SUVAT equations that one should commit to their memory are V = U + A T. S = ( U + V 2 ) T.

**3. How do you calculate acceleration using SUVAT?**

You can find acceleration using SUVAT from the formula v= u+at. Rewriting this formula you can obtain the acceleration.

**4. How do you calculate displacement using SUVAT?**

s = ut + 1/2at² can be used to calculate displacement using SUVAT.

**5. When can you use SUVAT?**

The SUVAT equations are used when acceleration is constant and velocity is changing in a body that is moving.