PLEASE USE PYTHON

Problem 1: A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second. 0 3 5 8 13 Distance 225 383 623 993 75 77 80 74 72 Time Write a program which uses Newton's divided difference to compute the Hermite polynomial to predict the position of the car att 10s. Output the divided difference table. What is the predicted position at t = 10s