Problem 1: Given f(t)=t3t2+1, where f(t) is the distance an object travels per second and defined over interval [0,4] with a step (h)=1 second. Use difference table to answer questions (1,2,3,4, and 5). 1) The maximum number of linear polynomials that can be obtained from the given data is: (A) 2 (B) 3 (C) 4 (D) None 2) Starting from t=1, the distance that the object travels at t4 seconds using P2(t) is: (A) 43 (B) 48 (C) 32 (D) None 3) The absolute error in the velocity of the object at t=1 second using P2(t) is : (A) 0.25 (B) 1 (C) 0.75 (D) None