Answer:
Vertical height of the hill, h = 20.4 meters
Explanation:
Given that,
Speed of the bicyclist, v = 20 m/s
To find,
The vertical height of the hill.
Solution,
Let h is the height of the hill. When he approaches the bottom of the hill, the loss in kinetic energy is equal to the gain in potential energy. Using the conservation of energy as,
[tex]\dfrac{1}{2}mv^2=mgh[/tex]
[tex]h=\dfrac{v^2}{2g}[/tex]
[tex]h=\dfrac{(20)^2}{2\times 9.8}[/tex]
h = 20.4 meters
Therefore, the vertical height of the hill is 20.4 meters. Hence, this is the required solution.
