Answer:
[tex]v \approx 7.371\,\frac{m}{s}[/tex]
Explanation:
The swimmer can be modelled by the Principle of Energy Conservation. The speed is derived herein:
[tex]m_{swimmer}\cdot g \cdot h = \frac{1}{2}\cdot m_{swimmer}\cdot v^{2}[/tex]
[tex]v = \sqrt{2\cdot g \cdot h}[/tex]
[tex]v = \sqrt{2\cdot (9.807\,\frac{m}{s^{2}} )\cdot (2.77\,m)}[/tex]
[tex]v \approx 7.371\,\frac{m}{s}[/tex]
