Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a

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 = 170 m above the valley floor, at which time she opens her parachute.

(a) How long is the jumper in free fall? Ignore air resistance.

(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?

Explanation / Answer

h1 - h2 = u_y*t + 1/2*gt^2

910 - 170 = 0 + 1/2*9.81*t^2

t = 12.3 s

x = u_x*t = 4*12.3= 49.1 m

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