language: Python

Problem 5.4. Oscillating spring A rock of mass m is hung from a spring, and pulled down a length A. When released, the rock will oscillate up and down with a vertical position given by y(t) = Ae=7* cos (V) Here, y is the vertical position of the rock, k is the spring constant, and is a friction coefficient representing air resistance. Set k = 4 kg 8-2 and 7 = 0.15 s-, m = 9 kg, and A = 0.3 m. a) Create arrays t_array and y-array of size 101, both initially filled with zeros. Use a for loop to fill them with time values in the range from 0 to 25 seconds, and the corresponding y(t) values. b) Vectorize your program by using the NumPy's linspace function to gen- erate the t_array, and send it into a function y(t) to generate the y-array. Your program should now be free of for loops. paragraphe) Plot the position of the rock against time in the given time interval. Use the arrays from both exercise a) and b), and confirm that they give the same result. Put the correct units on both axes