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CalcTree
This page provides calculators for determining displacement, velocity and acceleration and provides some functions to help you calculate it! Read more about the theory of the equations of motion here.


Here are the variables for the equation

  1. u = initial velocity (m/s)
  2. v = final velocity (m/s)
  3. a = acceleration (m/s^2)
  4. t = time
  5. s = displacement
Rearranging the equations above to determine:
Final velocity

v=u+atv = u + at
Average velocity

va=u+v2v_a = \frac{u+v}{2}
Acceleration

a=vut  or  a=v2u22sa = \frac{v-u}{t} \space \space or\space \space a = \frac{v^2 - u^2}{2s}
Distance Travelled

s=(u+v) t2s = \frac{(u+v)\space t}{2}

Calculation

Inputs



u
:50.00m / s



a
:40.00m/s^2



s
:60.00meter



v
:25.00m / s



t
:50.00s


Output



Final Velocity
:2,050.00


v=u+atv = u + at


Average Velocity
:37.50


va=u+v2v_a = \frac{u+v}{2}


Acceleration (eqn 1)
:-0.50



aequation 1=vuta_{equation\ 1} = \frac{v-u}{t}


Acceleration (eqn 2)
:-15.63


aequation 2=v2u22sa_{equation\ 2} =\frac{v^2 - u^2}{2s}


Displacement
:1,875.00


s=(u+v) t2s = \frac{(u+v)\space t}{2}

Explanation

In kinematics, the basic motion concept of an object, such as velocity, position, and acceleration performed at regular intervals of time, is referred to as equations of motion.
Three motion equations govern the motion of an object in 1, 2, and 3 dimensions. Hence, the equations of motion are:
The FIRST equation of motion is

v=u+atv = u + at
The SECOND equation of motion is

s=ut+12at2s = ut + \frac{1}{2}at^2
The THIRD equation of motion is

v2u2=2asv^2 - u^2 = 2as
where,

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