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# Python program to calculate acceleration, final velocity, initial velocity and time

Here we can find the acceleration (a), final velocity(v), initial velocity(u) and time(t) using the formula a = (v-u)/t.

At first, functions are defined for all four types of calculations, in which they will accept three inputs and assign the value in three different variables. Then the fourth value is calculated using the acceleration formula and the calculated value is returned. We are going to use the same acceleration formula in different approaches.

Approach:

• In the first approach, we will find initial velocity by using the formula “u = (v-a*t)”
• In the second approach, we will find final velocity by using formula “v =  u + a*t”
• In the third approach, we will find acceleration by using formula “a = (v – u)/t”
• In the fourth approach, we will find time by using formula “t = (v – v)/a”

Example 1: Initial velocity (u) is calculated.

## Python3

 `# code``# Enter final velocity in m/s:``finalVelocity ``=` `10` `# Enter acceleration in m per second square``acceleration ``=` `9.8` `#Enter time taken in second``time ``=` `1``initialVelocity ``=` `finalVelocity ``-` `acceleration ``*` `time``print``(``"Initial velocity = "``, initialVelocity)`

Output:

`Initial velocity =  0.1999999999999993`

Time complexity: O(1)
Auxiliary space: O(1)

Example 2: Final velocity (v) is calculated.

## Python3

 `# code``# initial velocity in m/s:``initialVelocity ``=` `10` `# acceleration in m per second square``acceleration ``=` `9.8` `# time taken in second``time ``=` `1``finalVelocity ``=` `initialVelocity ``+` `acceleration ``*` `time``print``(``"Final velocity = "``, finalVelocity)`

Output:

`Final velocity =  19.8`

Time Complexity: O(1), constant time complexity as there are no loops or iterations, and the operations are straightforward.
Auxiliary Space: O(1), constant space complexity as the code only uses a fixed amount of memory for the variables.

Example 3: Acceleration (a) is calculated.

## Python3

 `#code``# initial velocity in m/s``initialVelocity ``=` `0` `# final velocity in m/s``finalVelocity ``=` `9.8` `# time in second``time ``=` `1` `acceleration ``=` `(finalVelocity ``-` `initialVelocity) ``/` `time``print``(``"Acceleration = "``, acceleration)`

Output:

`Acceleration =  9.8`

Example 4: Time (t) is calculated.

## Python3

 `# code``#final velocity in m/s``finalVelocity ``=` `10` `#initial velocity in m/s``initialVelocity ``=` `0` `#acceleration in meter per second square``acceleration ``=` `9.8` `time ``=` `(finalVelocity ``-` `initialVelocity) ``/` `acceleration``print``(``"Time taken = "``, time)`

Output:

`Time taken =  1.0204081632653061`

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