Determine the slope of the secant line

Question

Consider the position function s(t)= -16t^2 +100t  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 (3,s(3)) .Determine the slope of the secant line

Answer 1

s(t) = -16t² + 100t

 

slope of secant = [s(3) - s(1)] / (3-1) = (156 - 84) / 2 = 36