Find velocity using Force -time graph

[jake jungle]

Homework Statement

The variation of the force F with the time t acting on a body of mass 200g is as shown in the graph below
Given that the velocity of the body at t=75ms is 15m/s . What is the velocity of the body at t=150ms
A.15m/s
B.30m/s
C.35m/s
D.39m/s

Homework Equations

F = m Δv/Δt

The Attempt at a Solution

so i calculate the area of ABCDE , and it equal the change of momentum from 75ms to 150ms
the i calculate the momentum of the body in t = 75ms using v = 15m/s and mass of 200g
=> momentum of the body in t = 150ms => v
however i don't get any answer in the choices . please tell me where i was wrong

 

[Orodruin]

It will be easier to know where you go wrong if you provide your actual computations rather than describing them in words. The general idea is correct.

 

[Quantum Defect]

v = v_0 + integral [dt*F/m]

Units matter. The area of the first bit (75 ms - 100 ms): [ 70 N * 25 x 10^-3 sec / 200 x 10^-3 kg -- factors of 10^-3 cancel = 8.75 m/s]