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Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 min Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is h= 190 mabove the valley floor, at which time she opens her parachute. Part A How long is the jumper in free fall? Ignore air resistance. Express your answer using two significant figures and include the appropriate units.Part B It is important to be as far away from the cliff as possible before opening the parachute. How far from the cliff is this jumper when she opens her chute? Express your answer using two significant figures and include the appropriate units.

Question

Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 m
in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is h= 190 m
above the valley floor, at which time she opens her parachute. 

Part A
How long is the jumper in free fall? Ignore air resistance.
Express your answer using two significant figures and include the appropriate units.

Part B
It is important to be as far away from the cliff as possible before opening the parachute. How far from the cliff is this jumper when she opens her chute?
Express your answer using two significant figures and include the appropriate units.

 

check_circleAnswer
Step 1

PARTA

the vertical displacment of the person is the differenece betweeen the height of the cliff and the final height from the ground. in this case, the initial velocity or speed of the person is zero and acceleration is the acceleration due to gravity.

 

the expression for the vertical displacemnt is 

1
Н -h--at?
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1 Н -h--at?

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Step 2

substitute the given quantities in the above equation to calculagte t.

910m-190m (9.80 m/s )r
4.9t2 720m
t =12s
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910m-190m (9.80 m/s )r 4.9t2 720m t =12s

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Step 3

PART B

the horizontal distance travel...

d v
= V
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d v = V

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