Linear Algebra
To measure the takeoff performance of an airplane, thehorizontal position of the plane was measured every second, from t= 0 to t = 12. The positions (in feet) were: 0, 8.8, 29.9, 62.0,104.7, 159.1, 222.0, 294.5, 380.4, 471.1, 571.7, 686.8, and 809.2 .A) Find the least- squares cubic curve y = A??20 +A??21t + A??22t2 +A??23t3 for these data. B) Use the result ofpart A) to estimate the velocity of the plane when t = 4.5seconds.
