Question

Use bisection to determine the drag coefficient needed so that an 80-kg bungee jumper has a velocity of 36 m/s after 4 s of free fall. Note: The acceleration of gravity is 9.81 m/s².

Start with initial guesses of xₗ =0.1 and xᵤ =0.2 and iterate until the approximate relative error falls below 2%.

Answer 1

To determine the drag coefficient needed for an 80-kg bungee jumper to achieve a velocity of 36 m/s after 4 seconds of free fall, use the bisection method.

Step-by-step explanation:

To determine the drag coefficient needed for an 80-kg bungee jumper to achieve a velocity of 36 m/s after 4 seconds of free fall, we can use the bisection method.

This method involves making initial guesses for the drag coefficient and iterating until the approximate relative error falls below 2%.

Starting with initial guesses of xₗ = 0.1 and xᵤ = 0.2, we can use the bisection algorithm to find the drag coefficient that satisfies the given conditions.