Question 1 (10 Points) Newton's laws of motion are used to derive the following formula for the maximum height h achieved by an object thrown with a speed v at and angle to the horizontal: sin where g- 9.8 m/sec Create a documented Python program (maximumheight.py) with a table showing the maximum height for each of the following values of speed and angle. 10,12141618,20m/s -50,60,70,80 Question 2 (10 Points) The Leibnitz Formula for is given in terms of a slowly converging infinite series = .c write a Python program using a for loop to determine the value of the summation for N = 100, 1000, 10,000, 100,000 and 1,000,000 respectively. Write a Python program using a while loop to determine the number of terms N required to be within 10-6 of Python's representation of . Question 3 (10 Points) Write well-documented Python function for computing the nth Fibonacci number. Use a global variable to determine how many times the Fibonacci number is called