Hi there!
We can use the Impulse-Momentum Theorem to solve.
Recall:
Impulse = Change in momentum = Δp = mΔv
The change in momentum is equivalent to:
Δp = m(vf - vi) = (59.5)(0 - 9.5) = -565.25 kgm/s ⇒ 565.25 kgm/s (+ b/c change)
This is also equal to the impulse, which is:
I = Ft (Force × time)
Thus:
565.25 = (1.9 × 10²)t
565.25/190 = 2.975 sec
