a runner is working out on a straight track. the graph to the right shows the runners distance y in hundreds…

a runner is working out on a straight track. the graph to the right shows the runners distance y in hundreds of feet from the starting - line after t minutes. (a) estimate the turning points. (b) interpret each turning point. (a) choose the correct answer below. select all that apply. a. (1.0,0.0) b. (4.8,0.0) c. (2.9,1.3) d. (4.9,1.8) e. (1.6,4.9) f. (4.2,4.9) g. (1.5,2.9) h. (4.9,4.2) (b) choose the correct answer below. a. each turning point represents when the runner is going uphill or downhill. b. each turning point represents when the runner changes speed. c. each turning point represents when the runner changes direction. d. each turning point represents when the runner reaches the starting line.

a runner is working out on a straight track. the graph to the right shows the runners distance y in hundreds of feet from the starting - line after t minutes. (a) estimate the turning points. (b) interpret each turning point. (a) choose the correct answer below. select all that apply. a. (1.0,0.0) b. (4.8,0.0) c. (2.9,1.3) d. (4.9,1.8) e. (1.6,4.9) f. (4.2,4.9) g. (1.5,2.9) h. (4.9,4.2) (b) choose the correct answer below. a. each turning point represents when the runner is going uphill or downhill. b. each turning point represents when the runner changes speed. c. each turning point represents when the runner changes direction. d. each turning point represents when the runner reaches the starting line.

Answer

Explanation:

Step1: Identify turning - points

Turning - points on a distance - time graph are points where the slope changes sign. These are the local maxima and minima of the function. Looking at the graph and the given points, we check for points where the runner's motion changes direction (the slope of the distance - time graph changes from positive to negative or vice - versa).

Step2: Analyze the meaning of turning - points

The turning - points on a distance - time graph for a runner on a straight track represent the moments when the runner changes direction. When the runner changes direction, the velocity (the derivative of the distance function with respect to time) changes sign.

Answer:

(a) C. (2.9,1.3), E. (3.6,4.9), F. (4.2,4.9) (b) B. Each turning point represents when the runner changes direction.