The Physics Of The Universe

# Change in Velocity Calculator

Enter acceleration and time values to calculate the change in velocity

##### Change in Velocity

The change in velocity (Δv) of an object is the difference between its final velocity (vf) and its initial velocity (vi). It is given by the formula:

Δv = vf - vi

However, if the acceleration (a) of the object is known and constant, we can use the formula:

Δv = a * t

where t is the time interval over which the acceleration occurs. This formula can be derived from the kinematic equation:

vf = vi + a * t

where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time interval. Rearranging the equation gives:

Δv = vf - vi = (vi + a * t) - vi = a * t

This formula tells us that the change in velocity of an object is directly proportional to its acceleration and the time interval over which the acceleration occurs. If the acceleration is positive, the object's velocity will increase, and if the acceleration is negative, the object's velocity will decrease. If the acceleration is zero, the object's velocity will remain constant, and there will be no change in velocity.