Suppose s[t) is the position of an object moving along a line at time [2 i]. What is the average velocity between the lirn est: a and t= b? Which of the following is the correct formula for average velocity? _ s{b}s{a} \fThe position of an object moving along a line is given by the function sft) = 1H2 + 35L Find the average velocity of the object over the following intervals. la] [1. 3] lb] [1, 1"l [e] [1, 6] [d] [1, 1+h] where h>0 is any real number. [a] The average velocity of the object over the interval [1, 8] is Consider the position function s(t) = - 16t- + 120t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing through (1,s(1)) and (2,s(2)). Determine the slope of the secant line and explain its relationship to the moving object Sketch the graph of s with the secant line. Choose the correct graph below. O A. O B. O C. As 176- 176- 176- 104- 104- 104- 2 2 2For the function x): 12x3 x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x= 1. Complete the table. (Round the nal answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) Interval Slope of secant line [1. 2] l