Question 1: A cyclist's distance-time graph shows a steady increase of 3 km every 2 minutes. Calculate the cyclist's speed in km/h.

Answer: 45

Question 2: On a distance-time graph, a straight line from (0, 0) to (10, 30) represents a constant rate of movement. What is the speed in km/h?

Answer: 18

Question 3: A car travels 50 km in 1 hour. Draw a distance-time graph of this journey.

Answer: Students draw a straight line from (0, 0) to (1, 50).

Question 1: A runner's distance-time graph shows a flat section between 10 and 15 minutes, then a steep incline. Explain what this indicates about the runner's motion.

Answer: The flat section indicates the runner was stationary (not moving). The steep incline shows the runner was moving quickly during that period.

Question 2: A vehicle accelerates from 0 to 60 km/h in 10 seconds. If the graph is a straight line during acceleration, what is the average acceleration in m/s^2?

Answer: 1.67

Question 3: Explain how you can determine the total distance traveled from a distance-time graph that has multiple segments with different slopes.

Answer: By calculating the area under each segment of the graph (area = base × height for triangles or rectangles) and summing these areas.

Question 1: A delivery drone's distance-time graph shows it remains stationary for 5 minutes, then flies at a constant speed for 15 minutes, and finally slows down for 5 minutes. Describe the shape of the graph and what each segment indicates about the drone's motion.

Answer: The graph has a flat section (stationary), a straight rising section (constant speed), and a less steep or plateauing section (slowing down).

Question 2: A hiker's distance-time graph shows a steep incline, then a gentle slope, then a flat line. What does each part tell you about the hiker's activity?

Answer: Steep incline: fast hiking, gentle slope: slower walking, flat line: resting or stationary.

Question 1: A train accelerates uniformly from 0 to 120 km/h over 4 minutes, then travels at constant speed for 10 minutes, and finally decelerates to stop in 2 minutes. Sketch a possible distance-time graph and describe each section.

Answer: Students sketch a graph with initial steep slope (acceleration), a straight line (constant speed), and a decreasing slope (deceleration).

Question 2: Given a distance-time graph with a segment where the slope decreases over time, explain what is happening to the object's velocity and why.

Answer: The velocity is decreasing, indicating deceleration or slowing down.

Question 1: Plot the graph of y=2x for x from 0 to 10.

Answer: Students draw a straight line passing through (0,0) and (10,20).

Question 2: Identify the section of a distance-time graph where the object is stationary.

Answer: The flat segment where the graph is horizontal.

Question 1: A student draws a distance-time graph with a steep diagonal line, then a horizontal line, then a steep diagonal again, claiming the object moved back and forth. Is this correct? Why or why not?

Answer: Incorrect. A distance-time graph with back-and-forth motion should show a zigzag pattern, not just two straight lines in one direction. The student's interpretation oversimplifies the motion.