I need a python code for this question.

Free Fall with/without drag Consider an object freely falling along the vertical y axis under the influence of gravity. Newton's second law tells us that the time rate of change of velocity is duldt = -g, where g is the acceleration due to gravity. The velocity is defined as the time rate of change of position, u = dyldt. Thus, the motion of the object is governed by the ODE's dy = v du We can combine these two into a single second order differential equation: dy = -8 diz = -8 but for numerical purposes, the first order form is easier to use. We may introduce some drag as a force that is proportional to the velocity: = -g- Bu The pseudocode for the algorithm looks like: set the initial values of y (y[0]) and v (v[0]) for each time point i, use the information from that point to determine the position and velocity at i+1: determine v[i+1] from v[i] and the derivative of velocity (acceleration) determine y[i+1] from y[i] and the derivative of position (velocity, i.e. v[i]) Homework 5.1 The first 5 are with no drag, i.e. with B = 0. 1. Use Euler's method to discretize the equations of motion for the position and velocity in the cell above (this is pen and paper math). 2. Write a python code that uses Euler's method to solve for the motion of an object in free fall. Note that you should solve them at the same time -- you can't generally first solve for u and then for y. Choose the initial conditions yo = 12.Om and Vo = 35.0m/s and set g = 9.8m/s. 3. Use your code to determine the height for times 0