Displacement as a function of velocity, acceleration and time.

Equation for this Calculation:

Where:
x = displacement
v₀ = initial velocity
a = acceleration
t = time

Formula for displacement as a function of velocity, acceleration and time.

• x = v₀t + ½at²
  • x = displacement
  • v₀ = initial velocity
  • a = acceleration
  • t = time

Displacement calculations used in calculator:

Solving for the different variables we can use the following formulas:

• Given v₀, t and a calculate x
  Given initial velocity, time and acceleration calculate the displacement.
  • x = v₀t + ½at²
• Given x, t and a calculate v₀
  Given displacement, time and acceleration calculate the final velocity.
  • v₀ = x/t - ½at
• Given a, v₀ and x calculate t
  Given acceleration, initial velocity and displacement calculate the time.
  • ½at² + v₀t - x = 0
• Given x, t and v₀ calculate a
  Given displacement, time and initial velocity calculate the acceleration.
  • a = 2x/t² - 2v₀/t