Displacement Calculator

Enter any three inputs and click on Calculate button


\( s = u \cdot t + \frac{ a \cdot t ^2}{2} \)

u : m/s
a : m/s2
t : s
d : m





How to use this Displacement Calculator 🤔

  1. There are input fields for Initial Velocity \((u)\), Acceleration \((a)\), Time \((t)\), and Displacement \((d)\). Enter any three inputs and click on Calculate button.
  2. The calculator uses the \( s = u \cdot t + \frac{ a \cdot t ^2}{2} \) formula, substitues given values, and calcuates the missing value(s).
  3. A missing value is calcuated and displayed in the input field. Also, the caculation is displayed under the input section.

What is Displacement?

Displacement is the overall change in position of an object. It tells us how far and in what direction an object has moved from its starting point. Unlike distance, displacement considers the direction of motion, making it a vector quantity.

Calculating Displacement

Displacement (s) can be calculated using the formula:

\( s = u \cdot t + \frac{1}{2} a \cdot t^2 \).

In this formula, the parameters are defined as follows:


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2


Input and Output Combinations of the Displacement Calculator

Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.

Calculator InputsSet #1
  • u Initial Velocity
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Displacement\(d = \)\( u \cdot t + \frac{ a \cdot t ^2}{2} \)
2 Examples
Calculator InputsSet #2
  • d Displacement
  • a Acceleration
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Initial Velocity\(u = \)\( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)
1 Example
Calculator InputsSet #3
  • d Displacement
  • u Initial Velocity
  • t Time

For these given inputs,

Outputs, Formulas

We calculate the following outputs:

  • Acceleration\(a = \)\( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)
1 Example


Examples

1

What is the distance travelled by an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Initial Velocity, u = 5 m/s
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(5\times10+ \frac{2\times10^2}{2} \)

\( d = \) 150 m

2

What is the distance travelled by an object travelling with an initial velocity of 0 m/s, an acceleration of 10 m/s2, for 20 s ?

Answer

Given:

  • Initial Velocity, u = 0 m/s
  • Acceleration, a = 10 m/s2
  • Time, t = 20 s

Calculating displacement (d)...

\( d = \) \( u \cdot t + \frac{ a \cdot t ^2}{2} \)

\( d = \) \(0\times20+ \frac{10\times20^2}{2} \)

\( d = \) 2000 m

3

What is the initial velocity of an object that has travelled a distance of 100 m with an acceleration of 2 m/s2, for 10 s ?

Answer

Given:

  • Displacement, d = 100 m
  • Acceleration, a = 2 m/s2
  • Time, t = 10 s

Calculating initial velocity (u)...

\( u = \) \( \frac{ d }{ t } - \frac{ a \cdot t }{2} \)

\( u = \) \( \frac{100}{10} - \frac{2\times10}{2} \)

\( u = \) 0 m/s

4

What is the acceleration of an object that has travelled a distance of 100 m in 5 s with an initial velocity of 25 m/s ?

Answer

Given:

  • Displacement, d = 100 m
  • Initial Velocity, u = 25 m/s
  • Time, t = 5 s

Calculating acceleration (a)...

\( a = \) \( 2 \cdot (\frac{ d - u \cdot t }{ t ^2 }) \)

\( a = \) \( 2 \times (\frac{100-25\times5}{5^2 }) \)

\( a = \) -2 m/s2