A constant force applied to an object moving in a rectilinear trajectory does the following work:
![W=Fd\cos\theta](https://img.qammunity.org/2023/formulas/physics/college/rg0fthyqg8mfijjuwia3vco6ry6r4mjyxk.png)
where F is the magnitude of the force, d is the distance the object moved and θ is the angle between the force and the displacement vector. In this case we know that the object is moving in a direction opposite to the force applied, this means that the angle between them is 180°, since the cosine of this angle is -1, this means that the work done will be negative.
Therefore, the correct option is a.