A $0\mathrm{.}0113-kg$ bullet is fired straight up at a falling wooden block that has a mass of $2\mathrm{.}68$ kg $.$ The bullet has a speed of $893\frac{m}{s}$ when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time $t$ when the collision with the bullet occurs. As a result of the collision, the block $($with the bullet in it$)$ reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time $t.$