How much does a bullet penetrate a wall?

1. The problem statement, all variables and given/known data
A bullet weighing m = 50g with a initial speed of v = 300m/s hits a wall. The wall is build in a way that the value of the force it causes on the bullet is given by: . The time starts after the bullet hits the wall and F0 = 70N. How much does the bullet penetrate the wall, in centimeters?

2. Relevant equations
Force made by the wall on the bullet =

3. The attempt at a solution
My first thought was: to determine the distance I need the time, initial speed, final speed and aceleration, depending on the equation. So, I tried to find the time. Failed. Then I tried to find the aceleration… failed. Note that I’m just beginning and my high-school wasn’t that great, so I’m having some troubles with exercises like this.

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