A body is thrown on a rough surface such that the friction force acting on it is linearly varying with the distance travelled by it as `f=ax+b`. Find the work done by the friction on the box if before coming to rest the box travels a distance s.

Explanation

To solve the problem of finding the work done by the friction on a box that is thrown on a rough surface, where the friction force varies linearly with distance, we can follow these steps:

### Step 1: Understand the Given Information
We are given that the friction force \( f \) acting on the box is defined by the equation:
\[ f = ax + b \]
where \( a \) and \( b \) are constants, and \( x \) is the distance traveled by the box. The box travels a distance \( s \) before coming to rest.
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