Neil Armstrong throws a ball down into a crater on the moon. The height s (in feet) of the ball from the bottom of the crater after t seconds is given in the following table: 

(a) Find the average speed from t = 1 to t = 4 seconds. 

(b) Find the average speed from t = 1 to t = 3 seconds. 

(c) Find the average speed from t = 1 to t = 2 seconds. 

(d) Using a graphing utility, find the quadratic function of best fit. 

(e) Using the function found in part (d), determine the instantaneous speed at second.

Time, t (in Seconds) Distance, s (in Feet) 1000 987 969 3 945 4 917 883 843 800 749