Question 1: A runner's distance-time graph shows a steady increase in distance over 10 minutes, then flattens out for 2 minutes, and then increases again. What can you interpret about the runner's activity during these periods?

Answer: The runner was running steadily, then stopped or rested during the flat section, then resumed running.

Question 2: Plot the graph of y=3x for x values from 0 to 5 on the grid.

Answer: Student plots a straight line with points (0,0), (1,3), (2,6), (3,9), (4,12), (5,15).

Question 3: A cyclist covers 30 km in 2 hours. The distance-time graph is a straight line. What is the cyclist's average speed?

Answer: 15 km/h

Question 4: A swimmer's distance-time graph shows a steep increase over 30 minutes, indicating swimming at a high speed, then levels off for 10 minutes. What does the leveling off indicate?

Answer: The swimmer stopped or rested during the flat section.

Question 5: Calculate the average speed of an athlete who covers 200 meters in 40 seconds.

Answer: 5 m/s

Question 6: A hiking trail's distance-time graph shows an initial slow increase in distance, then a rapid increase, followed by a leveling off. What might this indicate about the terrain?

Answer: Initial slow climb, then a steep ascent, and flat terrain or rest at the top.

Question 7: Identify the feature of the graph where the athlete's speed changes from a high to a lower value.

Answer: The slope decreases during that section.

Question 8: A sprinter's distance-time graph shows a sharp increase over the first 5 seconds, then a flat line for 3 seconds, then another sharp increase. What does this pattern suggest?

Answer: The sprinter accelerates quickly, then momentarily pauses or slows, then accelerates again.

Question 9: A marathon runner's total distance is 42 km. In the last 10 km, the graph shows a steady, gentle incline. What can be inferred about the runner's pace during this final stretch?

Answer: The runner maintained a slow, steady pace during the last 10 km.

Question 10: A cyclist's distance-time graph shows a sudden jump in distance over a 1-minute interval. What might this indicate?

Answer: A measurement error, a sudden acceleration, or a change in route.

Question 11: A runner's graph shows two intervals: one with a steep slope and another with a gentle slope. How do these slopes relate to the runner's speeds?

Answer: Steeper slope indicates higher speed; gentler slope indicates lower speed.

Question 12: Identify and correct the mistake in interpreting a flat section of a distance-time graph as 'the athlete is running at constant speed.'

Answer: A flat section indicates the athlete is stationary, not moving.