Please answer quick! Show all work! Consider the position function s(t) = - 16t + 100t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing through (0.5,s(0.5)) and (3,s(3)). Determine the slope of the secant line andexplain its relationship to the moving object.Sketch the graph of s with the secant line. Choose the correct graph below.O BOc.O A156-156-156-46-o's0.50.5The slope of the secant line is maec = (Type an integer or a decimal.)What is the relationship of the slope to the moving object?O A. The slope is the average velocity of the object over the interval [46,156].O B. The slope is the average velocity of the object over the interval [0.5,3).O c. The slope is the maximum velocity of the object.O D. The slope is the instantaneous velocity when t= 3

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Consider the position function s(t) = - 16t + 100t representing the position of an object moving vertically along a line. Sketch a graph of s with the secant line passing through (0.5,s(0.5)) and (3,s(3)). 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.