Answer:
The skier’s speed on the two level stretches are 22.13 m/s and 27.29 m/s.
Explanation:
Given that,
Slope down = 32°
Height = 25 m
Before leveling,
Slope down = 20°
Height = 38 m
We need to calculate the skier’s speed on the two level stretches
Using formula of energy
[tex]P.E=K.E[/tex]
[tex]mgh=\dfrac{1}{2}mv^2[/tex]
[tex]v=\sqrt{2gh}[/tex]
For first stretch,
Height = 25 m
Put the value into the formula
[tex]v=\sqrt{2\times9.8\times25}[/tex]
[tex]v=22.13\ m/s[/tex]
For second stretch,
Height = 38 m
Put the value into the formula
[tex]v=\sqrt{2\times9.8\times38}[/tex]
[tex]v=27.29\ m/s[/tex]
Hence, The skier’s speed on the two level stretches are 22.13 m/s and 27.29 m/s.
