Respuesta :
The average acceleration after the rope starts stretching and slowing down is 9.63m/s^2 when a bungee cord has a length of 10m it stretches by at most 20% you jump from a bridge 15m high.
The acceleration of a bungee jumper is given by
a=-g(1-(μ(4L+μ(2L+y))/(2(μ(L+y)+2L)^2 )))
g is the acceleration due to gravity (9.81m/s2)
µ is the mass ratio (which is 1), assuming the mass of the jumper and the bungee cord are the same
L is the length of the bungee cord (10m)
Y is the height at which the jumper jumps (15m)
a=-g(1-(((4L+(2L+y)))/(2((L+y)+2L)^2 )))
Substituting the values
a=-9.81(1-(((4(10)+(2(10)+15)))/(2((10+15)+2(10))^2 )))
a=-9.81(1-(((40+(20+15)))/(2((25)+20)^2 )))
a=-9.81(1-(((40+35))/(2(45)^2 )))
a=-9.81(1-(75/(2×2025)))
a=-9.81(1-(75/4050))
a=-9.81(1-0.0185)
a=-9.81(0.9815)
a=-9.6285
a=-9.63m/s
The acceleration is negative because the rope is slowing down, i.e. coming to rest.
To learn more about positive and negative acceleration. Click, https://brainly.com/question/16888861
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