Given: Skydiver mass: 90 kg Begins at altitude 4000 m Velocity in x direction 40

Question

Given:

Skydiver mass: 90 kg

Begins at altitude 4000 m

Velocity in x direction 40 m/s at t=0

Velocity in the y direction is 0 m/s at t=0

G = 9.81 m/s^2

Drag force during free fall =

Cd = 0.92

As = 0.5 m^2

Parachute released at 1200 m

Drag force increases to =

Ap = 45 m^2

Cdp = 1.33

Drag forces defined as opposite of skydivers velocity at any instant.

Density varies over time at different points in air =

p0 = 1.225 kg/m^3

y = height above ground in meters

**********Write a Python function that computes the trajectory of the skydiver after leaving the aircraft until landing on the ground. Your program should start with the initial state as discussed above. It should then integrate the equations of motion with small increments of time and save the skydiver’s position, velocity and acceleration at discrete points in time. Terminate the integration process when the skydiver has landed (safely, hopefully).

Explanation / Answer

Python function that computes the trajectory of the skydiver after leaving the aircraft until landing on the ground. Your program should start with the initial state as discussed above. It should then integrate the equations of motion with small increments of time and save the skydiver’s position, velocity and acceleration at discrete points in time. Terminate the integration process when the skydiver has landed (safely, hopefully).

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