To find the values of v3, v4, and S, we first need to determine the acceleration of the object.

Given that the initial velocity $Vo$ is 40 m/s, the time interval t1 is 2 seconds, and the time interval t2 is 5 seconds, we can use the formula for acceleration:

a = $Vf-Vo$ / t

where:
a = acceleration
Vf = final velocity
Vo = initial velocity
t = time interval

For the first time interval t1 = 2s:
a1 = $Vf1-40m/s$ / 2s

For the second time interval t2 = 5s:
a2 = $Vf2-Vf1$ / 3s

Now, we can calculate the final velocity for each time interval:

For the first time interval t1 = 2s:
Vf1 = Vo + a1 t1
Vf1 = 40m/s + a1 2s

For the second time interval t2 = 5s:
Vf2 = Vf1 + a2 t2
Vf2 = Vf1 + a2 5s

Finally, we can calculate the total distance S traveled during the two time intervals:

S = Vo t1 + 0.5 a1 t1^2 + Vf1 t2 + 0.5 a2 t2^2

With the given values and calculated acceleration, you can now solve for v3, v4, and S.