The product of force and the time interval for which it acts is known as:
Impulse
Impulse is defined as the product of the force applied to a body and the time interval for which that force acts: \(J = F \times \Delta t\).
By Newton's second law, force equals the rate of change of momentum, \(F = \dfrac{\Delta p}{\Delta t}\), so multiplying both sides by \(\Delta t\) shows that impulse equals the change in momentum, \(J = \Delta p\).
Momentum itself is mass times velocity, work is force times displacement, and power is the rate of doing work — none of these match force multiplied by time, which specifically defines impulse.
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