If you increase the momentum of a moving object without increasing its inertia, you have increased its velocity.

Here's why:

* Momentum (p) is a measure of an object's mass in motion. It's calculated as: p = m * v (where m is mass and v is velocity).

* Inertia is the tendency of an object to resist changes in its motion. It's directly proportional to the object's mass.

Therefore, if you increase the momentum without changing the mass (inertia), the only factor that can change is the velocity.

Example:

Imagine pushing a small cart. You increase the cart's momentum by applying a force to it, making it move faster. You haven't changed the cart's mass (inertia), only its velocity.