Given:
The mass of the teenager is m = 45 kg
The potential energy is P.E. = 2205 J
To find the height of the diving board.
Explanation:
The height can be calculated using the formula
[tex]\begin{gathered} P.E.\text{ =mgh} \\ h=\frac{P.E.}{mg} \end{gathered}[/tex]Here, g = 9.8 m/s^2 is the acceleration due to gravity.
On substituting the values, the height will be
[tex]\begin{gathered} h=\frac{2205}{45\times9.8} \\ =\text{ 5 m} \end{gathered}[/tex]Thus, the height of the diving board is 5 m