Which expressions are correct for impulse?

Impulse is defined as the change in momentum of an object and can be mathematically expressed as ( J = F \Delta t ), where ( J ) is impulse, ( F ) is the average force applied, and ( \Delta t ) is the time duration over which the force is applied. It can also be expressed as ( J = \Delta p ), where ( \Delta p ) is the change in momentum. Both expressions highlight the relationship between force, time, and momentum in the context of impulse.