Kinematic Equations Calculator

July 2024 · 2 minute read
Kinematic Equations Calculator MathCelebrity logo Image to Crop Given time (t) = 45, solve for the remaining unknowns in the kinematic equations

Calculate acceleration (a):

d = vit + ½at2

Subtract vit from both sides of the equation:

d - vit = ½at2

Divide each side of the equation by ½t2

d - vit
½t2

Cancelling ½t2 on the right side, we get:

a  =  d - vit
  ½t2

a  =  -40 - 0(45)
  ½452

a  =  -40 - 0
  ½2025

a  =  -40
  1012.5

Calculate final velocity vf:

vf2 = vi2 + 2ad
vf2 = 02 + 2(-0.039506172839506)(-40)
vf2 = 0 + 3.1604938271605
vf2 = 3.1604938271605

Take the square root of both sides:

vf = √3.1604938271605
vf = 1.7777777777778

Final summary of variables:

Acceleration (a) = -0.039506172839506
Displacement (d) = -40
Time (t) = 45
Initial Velocity (vi) = 0
Final Velocity (vf) = 1.7777777777778

What is the Answer?

Acceleration (a) = -0.039506172839506
Displacement (d) = -40
Time (t) = 45
Initial Velocity (vi) = 0
Final Velocity (vf) = 1.7777777777778

How does the Kinematic Equations Calculator work?

Free Kinematic Equations Calculator - Given the 5 inputs of the 4 kinematic equations, this will solve any of the equations it can based on your inputs for the kinematics.
This calculator has 5 inputs.

What 2 formulas are used for the Kinematic Equations Calculator?

at = vf - vi
d = ½t(vi + vf)

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Kinematic Equations Calculator?

accelerationRate of change of the velocity with respect to time. Denoted as A(t).displacementMovement of an object from it's current positionequationa statement declaring two mathematical expressions are equalkinematic equationsPhysics Equations to predict unknown values in motionphysicsthe branch of science concerned with the nature and properties of matter and energy.timea point of time as measured in hours and minutes past midnight or noonvelocityspeed of an object in a given direction Kinematic Equations Calculator Video Play

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