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 Par

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 5.0 m/s and enjoys a freefall until she is 150 m above the valley floor, at which time she opens her parachute.how long is the jumper in freefall? ignore air resistance

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Nguyệt Ánh 4 years 2021-09-05T02:10:40+00:00 1 Answers 41 views 0

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  1. thugiang
    0
    2021-09-05T02:11:48+00:00
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    Answer:

    The jumper is in freefall for 12.447 seconds.

    Explanation:

    Let’s start by calculating how far the jumper falls.

    Initial height (on cliff) = 910 m

    Final height after freefall = 150 m

    Distance the jumper falls in freefall = 910 – 150 = 760 m

    We can now use the equation of motion below to solve for the time:

    s=u*t+\frac{1}{2} (a*t^2)

    here. acceleration = 9.81 m/s   (due to gravity)

    initial speed (u) = 0 m/s    (because vertical speed is 0 at the start)

    and distance (s) = 760 meters (as calculated above)

    So for speed we get:

    760=0*t+0.5(9.81*t^2)

    760=4.905t^2

    t = 12.447 seconds

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