If the mass remains constant and the unbalanced force on an object is tripled, then the acceleration of the object will also triple.

This is directly related to Newton's Second Law of Motion, which states:

Force (F) = Mass (m) x Acceleration (a)

If we rearrange the equation to solve for acceleration, we get:

Acceleration (a) = Force (F) / Mass (m)

Since the mass (m) is constant, we can see that acceleration (a) is directly proportional to the force (F). Therefore, if the force triples, the acceleration will also triple.