A car traveling along the straight road is clocked at number of points. The data from the observations are given in thefollowing table, where the time is in seconds, the distance infeet, and the speed in feet per second.
| Time |
0 |
3 |
5 |
8 |
13 |
| Distance |
0 |
225 |
383 |
623 |
993 |
| Speed |
75 |
77 |
80 |
74 |
72 |
A) Use a clamped sping to predict the position of the car and itsspeed when t = 10 s.(B) Use the derivative of the spline to determine whether thecar ever exceeds a 55 -mi/hr speed limit on the road; if so, whenis the first time the car exceeds this speed?(C) What is the predicted maximum speed for the car?