The sum of the elements in a tuple can be recursively calculated as follows: The sum of the elements in a tuple of size 0 is 0 Otherwise,
the sum is the value of the first element added to the sum of the rest of the elements
Write a function named sum that accepts a tuple as an argument and returns the sum of the elements in the tuple.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?