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Assignment 0 Q4. A ball of mass m falls from the height u.. According to Newton's law, Up -mg du(t) F=ma-mg=m- dt? 0 where u(t)

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Assignment 0 Q4. A ball of mass m falls from the height u.. According to Newton's law, Up -mg du(t) F=ma-mg=m- dt? 0 where u(t) is the position of the ball at time t and g is the acceleration due to gravity. At t = 0, the position is u, and the velocity is zero. So, u(t) can be obtained by solving the following ordinary differential equation with the initial conditions: d'ult) =-g dt? u(0)= du(t) dt =0 Ito Solve this equation for u(t). Steps are required. (5 marks) Q1. (Variables) Print out the values of the following variables and determine their types. varo = 1 + 100. varl = le5 var2 = 111 // 30 var3 = [[1, 2], [3, 4]] var4 = np.array([[1, 2], [3, 4]]) var5 = {1.2, 2, 35., 87} var6 "a": 1.2, "b": 2, "C": (35, 4), "d" : "1234", } var7 = var6["0"] var8 = var6["0"][-1] var9 = 3.0 == 3 (1x10 = 10 marks)

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