The Bungie Jump

Generating Data - from 4 digit Code - last 4 digits of phone

a
b
c
d
Variable
Calculation
All data to be expressed with 3 S.D.
Height of Person, h2
Enter your height in m
Mass of Person, m
Enter your mass in kg
Height of Jump, h1
=150 - cd, expressed in m
Stiffness of Bungie Cord, k
=250 - ab, expressed in N/m

The Question

A bungie jumper with a height of h2, (assume the c of g of the person is in the centre of the body as shown) is about to jump off a crane located h1 m above a body of water. Assuming, the bungie cord is linear elastic with a spring constant of k, determine;

  1. The length of the bungie cord so the top of the head just hits the water.
  2. The distance from the water to the top of the persons head after the jump has been completed and the jumper has quit bouncing.
  3. The maximum decelleration of the jumper. Express this figure in 'g's.
  4. The period of oscillation of the jumper as they are bouncing?

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