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

Acceleration, final velocity, initial velocity and time are the terms related to physical science which are widely used to study the motion and mechanics. Let’s see each one in detail.

Acceleration

Acceleration is the rate at which an object changes its velocity over the given time. It is denoted by a. Mathematically it is defined as the change in velocity divided by the change in time, the following is the formula. The unit of acceleration is meters per second $\mathrm{(m/s^2)}$

$\mathrm{a \:=\:(\Delta;\:vf − \Delta;vi)/\Delta;t}$

Where,

• $\mathrm{\Delta\:vi}$ is the Initial velocity

• $\mathrm{\Delta\:vf}$ is the Final velocity

• $\mathrm{\Delta\:t}$ is the change of time

• a is the acceleration

We can calculate the acceleration for the given velocity and time by framing the formula in the code.

Example

In this example we created the acceleration function and passing the final velocity, initial velocity and time along with defining the acceleration formula then acceleration will be calculated.

vi = 45
vf = 87
t = 45
def acceleration(vi,vf,t):
   a = (vf - vi)/t
   print("Acceleration:",a)
acceleration(vi,vf,t)

Output

Acceleration: 0.9333333333333333

Final velocity

Final velocity is the velocity of an object at the end of a particular time period. It is denoted by the symbol vf and is typically measured in meters per second (m/s). We can mathematically calculate the final velocity by using the below formula.

$ \mathrm{vf \:=\: a * t \:+\: vi}$

Where,

• vf is the final acceleration

• vi is the initial acceleration

• a is the acceleration

• t is the time

By using python, we can calculate the final velocity by framing the mathematical formula in the code.

Example

Here in this example we are defining the formula for final velocity in the code along with the dynamic inputs of initial velocity, acceleration and time then the it returns the final velocity.

vi = 45
a = 8
t = 98
def final_velocity(vi,a,t):
   vf = a * t + vi	
   print("Final velocity:",vf)
final_velocity(vi,a,t)

Output

Final velocity: 829

Initial velocity

Initial velocity is the velocity of an object at the beginning of a particular time period. It is denoted by the symbol vi and is typically measured in meters per second (m/s). Mathematical formula to calculate the initial velocity is as follows.

$\mathrm{vi\: =\: vf\: −\: a * t}$

The Initial velocity can be calculated using python by framing and using the mathematical formula in the python code.

Example

If we want to calculate the initial velocity for the given acceleration, time and final velocity then we have to use the mathematical formula in the python code.

vf = 79
a = 23
t = 35
def Initial_velocity(vi,a,t):
   vi = a * t - vf
   print("Initial velocity:",vi)
Initial_velocity(vf,a,t)

Output

Initial velocity: 726

Time

Time is the duration for which an object is in motion. It is denoted by the symbol t and is typically measured in seconds (s). Mathematical formula for calculating the time is given below.

$\mathrm{t\:=\: (vf − vi)\:/\: a}$

Example

Here we are creating the python code to calculate the time with the defined final velocity, acceleration and initial velocity.

vf = 45
a = 3
vi = 56
def time(vi,a,vf):
   t = (vf - vi) / a
   print("Time:",t)
time(vi,a,vf)

Output

Time: -3.6666666666666665