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Extreme-sports enthusiasts have been known to jump off the
Chapter 3, Problem 26(choose chapter or problem)
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 and enjoys a free fall until she is 150 m above the valley floor, at which time she opens her parachute (Fig. 337). (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?
Questions & Answers
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 and enjoys a free fall until she is 150 m above the valley floor, at which time she opens her parachute (Fig. 337). (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?
ANSWER:(a) The length of the jumper’s free fall is 760 m. This can be calculated using the equation for the time of a free fall from an initial height: t = sqrt(2h/g), where h is the