numerical method please be sure its 100% true

QUESTION 7 1 points Sa 8 75 77 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. Time 0 3 5 Distance 0 225 383 623 Speed 80 74 a) Use a Hermite polynomial to predict the position of the car and its speed when t = 10 sec. b) Use MATLAB to graph the obtained Hermite polynomial and its derivative. c) Use the graphs in part b) to determine whether the car ever exceeds a 81 ft/sec speed limit on the road. If so, what is the first time the car exceeds this speed? d) Use the graphs in part b) to find the predicted maximum speed for the car