A timber block is resting freely on brackets $4.0\,\text{m}$ above the ground, as illustrated. A bullet with mass $5.0\,\text{g}$ is fired straight upwards into the timber block of mass $95\,\text{g}$. It becomes embedded in the block. As a result of the impact, the block moves up beyond its supporting brackets. The bullet strikes the block at a speed of $200\,\text{m s}^{-1}$. What height above the ground does the block reach at the top of its motion?
- A$5.1\,\text{m}$
- B$5.6\,\text{m}$
- C$9.1\,\text{m}$
- D$9.6\,\text{m}$