# How Do You Find the Final Velocity?

Find the final velocity with these two equations: v = u + at and v2 – u2 = 2as. Equation one relates to time taken t, while equation two relates to distance covered S. With the first equation, add initial velocity to the value of acceleration x time.

1. Obtain the value of initial velocity

Assume the body in motion began with an initial velocity of u and had an increase in velocity or change in velocity. After some time t, the object moves with another velocity which is the final velocity.

2. Determine the change in velocity

Assume that a body in motion begins with an initial velocity u and with a constant acceleration a. After a time t, the change in velocity is obtained as acceleration × time or a × t which is merely written as “at”.

3. Calculate the final velocity

Calculate the final velocity; bearing in mind that the body began motion with an initial velocity of u. Thus, the value of u with which the body started motion is added to the increase in velocity obtained to get the correct value of final velocity v. The final velocity is, therefore, calculated as v = u + at, where v = final velocity, u = initial velocity, a = acceleration achieved by the object and t = time taken.