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Calculating Height
A ski lift is used to transport people from the base of a hill to the top. If the lift leaves the

base at a velocity of 15.5 m/s and arrives at the top with a final velocity of 0 m/s, what is the height of the hill? Round the answer to the nearest tenth.

Answer :

  • Final velocity=v=0m/s
  • Initial velocity=u=15.5m/s
  • Acceleration due to gravity=g=10m/s^2
  • Height=h

[tex]\boxed{\sf v^2-u^2=2gh}[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{v^2-u^2}{2g}[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{0^2-15.5^2}{2(10)}[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{240.25}{20}[/tex]

[tex]\\ \sf\longmapsto h=12.012m[/tex]

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