Alight woman and a heavy man jump from an airplane at the same time and open their same-size parachutes at the same time. which person will get to a state of zero acceleration first?

two people if they have a similar area should reach zero acceleration at the same time.

Explanation:

Let's analyze what is the acceleration of each person using Newton's second law, before opening the parachute

    mg = ma   ⇒   a = g

Therefore, the two people have the same acceleration, we assume that the size (area) of the two is not very different, so the speed of the two people should be the same at all times.

Now let's analyze what happens when opening the parachute, this creates a force of resistance to the fall, which is proportional to the area of the parachute , that is always much larger than the area of people and the speed of the bodies,

     fr -mg = ma

As we can see the difference in acceleration in each person should be in the resistance force of the parachute, since from the previous part we saw that the speeds of the two people are equal and all the parachutes have the same area, the force of friction should be the same for both people, this force is increasing until the acceleration is zero and from there on we have the terminal speed.

In conclusion, from the above the two people if they have a similar area should reach zero acceleration at the same time.