How do I find the final velocity of an object when I am given a force vs. time graph?

 Since F = M • A  and M = mass = constant then:

    A vs T  =  (F ⁄ M) vs T

 Now you can use either:

    V² − (Vi)² = 2 • A • D

 where   D = displacement

        V = final velocity

     Vi = initial velocity

 or there are other equations that will allow you to get the answer.

The body is continually accelerating, so hence the speed is steadily increasing at a consistent fee. because the speed is going more advantageous and better, the era of time it takes to conceal a particular quantity of distance receives shorter. hence, the graph takes on a curved structure, because the body receives swifter. besides the actual incontrovertible actuality that the acceleration is consistent, the speed ameliorations. It will enhance. It covers distance swifter so the slope of the line receives steeper. also, speed is an similar element as speed, except speed could be powerful or unfavorable, in opposite instructions, and speed in simple terms costs for stream and in no way the course traveled.

The area under the F-t curve is the impulse or change in objects momentum. So you can write;

Area under curve = MVf - MVi

Then solve for Vf

Vf = (Area - MVi)/M

This requires that you know the object's mass "M" and initial velocity "Vi" , and that you can calculate or measure the area under the F-t curve.

I don't know of any other way to do it.