could you write it in a python code? please show all the steps,thanks

1. Wrench vs Helicopter T In an action movie, the hero throws a wrench at the bad guy's helicopter hovering 400m above the ground, causing the helicopter to start losing power. The lift force provided by the helicopter blades now decays with time and is given in newtons by H(t) 15000exp(-#100), with t in seconds after the wrench hits The air provides a drag force proportional to velocity of magnitude F -kv where k n units of kas varies with hei nt abo ve the ground as 975 o. y where y is the height in m. The mass of the helicopter is 1600 kg, and g = 9.8 m/s-as usual Make plots of position vs time and velocity vs time for the helicopter i) How fast is the helicopter falling when it crashes? To answer this question, implement the 4th Order Runge-Kutta scheme presented in class to solve the ODE resulting from the application of Newton's Second Law. Use a time step of t 0.05 s 1. Wrench vs Helicopter T In an action movie, the hero throws a wrench at the bad guy's helicopter hovering 400m above the ground, causing the helicopter to start losing power. The lift force provided by the helicopter blades now decays with time and is given in newtons by H(t) 15000exp(-#100), with t in seconds after the wrench hits The air provides a drag force proportional to velocity of magnitude F -kv where k n units of kas varies with hei nt abo ve the ground as 975 o. y where y is the height in m. The mass of the helicopter is 1600 kg, and g = 9.8 m/s-as usual Make plots of position vs time and velocity vs time for the helicopter i) How fast is the helicopter falling when it crashes? To answer this question, implement the 4th Order Runge-Kutta scheme presented in class to solve the ODE resulting from the application of Newton's Second Law. Use a time step of t 0.05 s