Velocity as a function of acceleration and time.

Choose a Calculation
v0 = 
a = 
t = 
v0 = 
v = 
a = 
t = 

Equation for this Calculation:

v = v0 + at

v0 = initial velocity
v = final velocity
a = acceleration
t = time

Standard gravity
a = 9.80665 m/s2

The velocity calculator uses the equation that the final velocity of an object is equal to its initial velocity added to its acceleration multiplied by time of travel. This calculator does assume constant acceleration during the time. This calculator can be used to find initial velocity, final velocity, acceleration, or time as long as three of the variables are known.

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

  • v = v0 + at
    • v0 = initial velocity
    • v = velocity
    • a = acceleration
    • t = time

Example: Find time (t) given velocity (v), initial velocity (v0) and acceleration (a)

A car approaching a school zone slows down from 27 m/s to 9 m/s with constant acceleration -2 m/s2.

How much time is required to slow down?

Answer: We know initial velocity (v0 = 27), velocity (v = 9) and acceleration (a = -2)

We first need to solve the velocity equation for time (t):

v = v0 + at
v - v0 = at
(v - v0)/a = t

Plugging in the known values we get,
t = (v - v0)/a
t = (9 m/s - 27 m/s) / -2 m/s2
t = -18 m/s / -2 m/s2
t = 9 s

Velocity calculations solved for different variables and used in this calculator:

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

  • Given v0, a and t calculate v
    Given initial velocity, acceleration and time calculate the velocity.
    • v = v0 + at
  • Given v, a and t calculate v0
    Given velocity, acceleration and time calculate the initial velocity.
    • v0 = v - at
  • Given v, v0 and t calculate a
    Given velocity, initial velocity and time calculate the acceleration.
    • a = (v - v0)/t
  • Given v, v0 and a calculate t
    Given velocity, initial velocity and acceleration calculate the time.
    • t = (v - v0)/a

Cite this content, page or calculator as:

Furey, Edward "Velocity as a function of Acceleration and Time" From - Online Calculator Resource.