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January 31, 2015

January 31, 2015

Posted by **JOEY** on Sunday, April 22, 2012 at 4:26pm.

Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910m in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 5.0m/s and enjoys a freefall until she is 150m above the valley floor, at which time she opens her parachute .

Q: how long is the jumper in freefall? ignore air resistance

- @elena -
**MathMate**, Sunday, April 22, 2012 at 6:40pmWithout air resistance, the horizontal velocity does not matter.

The free fall is over a vertical distance of 150-910=-760m

S=v0t-(1/2)gt² where v0=0

t=sqrt(-2S/g)

=sqrt(2*760/9.81)

=12.45 s.

- @elena -
**Elena**, Sunday, April 22, 2012 at 6:54pmh=H-H(o) =910-150 =760 m/s

h=g•t^2/2,

t=sqrt(2•h/g) = sqrt(2•760/9.8)=

=sqrt (155)=12.45 s.

- @elena -
**Clarissa**, Sunday, April 22, 2012 at 7:12pmthank you.

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