A car travelling along a rural highway has been clocked at a number of points. T data from the observations are given in the following table, where the time is in seconds, t distance is in meters and the speed is in meters per second. (a) Use the Hermite polynomial to predict the position of the car when t = 11s. Time 4 10 13 15 18 22 Distance 86 130 220 288 333 399 485 Speed 22.6 22.2 21.8 21.4 21.4 21.7 22.2 22.6 (A) 242.1 (B) 242.3 (C) 242.5 (D) 242.7 (E) 242.9 (b) Use the Hermite polynomial to predict the position of the car when t = 17s. Time 4 6. 10 13 16 18 21 Distance 96 142 230 294 360 406 478 Speed 21.5 22.6 23.5 24.6 24.4 23.4 22.5 21.6 (A) 384.1 (B) 384.3 (C) 384.5 (D) 384.7 (E) 384.9

During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h, of the ball above the field in feet as a function of time, t, in seconds can be partially modeled by the following table: Time(t) 0 0.6 1.2 1.8 2.4 3.0 Height(ft)2.5028.5643.1046.1237.1217.60 What is the predicted height of the ball after 2 seconds in the air? (Round to the nearest foot if necessary) O 3 O 44 O 32 46 13 14 15 16 17 18 国

A clock is hung on a wall so that the bottom of the clock is exactly 75 inches above the ground. The minute hand (the longest hand) is 7 inches long and touches the edge of the clock. Write a function h(t)that describes the height of the tip of the minute hand above the ground at any time, t.  For ease, assume the scenario begins at noon. Recall: it takes 60 minutes for the minute hand to make a complete revolution around the clock.

#9 I really need this fixed in excel if possible please. I'm not familiar with R coding yet.