Question 1: Plot the graph of y=3x for x values from 0 to 5 on the provided grid.

Answer: see plotted graph

Question 2: A car's distance from a starting point is shown by a straight line on a distance-time graph. If the line rises from 0 to 60 km in 2 hours, what is the average speed of the car?

Answer: 30 km/h

Question 3: Identify the segment of the graph where the object is stationary.

Answer: Horizontal segment

Question 4: Describe what a steep slope on a distance-time graph indicates about the object's speed.

Answer: It indicates a high speed or rapid movement.

Question 5: On a certain graph, the distance increases from 0 to 40 km in 4 hours, then remains constant for 2 hours, and finally increases again to 70 km in the next 3 hours. Sketch or describe this graph.

Answer: Initial rising line (0-40 km), flat segment (stationary period), then rising line (additional 30 km).

Question 6: A vehicle travels such that its distance from home doubles every hour. If it starts at 10 km, what is its distance after 3 hours?

Answer: 80 km

Question 7: Explain why a flat segment on a distance-time graph does not necessarily mean the object is at rest if the graph is scaled differently on axes.

Answer: Because the axes may be scaled unevenly, making the segment appear flat even if the object is moving slowly.

Question 8: Two objects start at the same point and travel along different paths. Object A travels at a constant speed, while Object B accelerates. Sketch or describe how their distance-time graphs will differ over 5 hours.

Answer: Object A's graph is a straight line; Object B's graph is curved and steeper over time.

Question 9: A graph shows a decrease in distance from 50 km to 20 km over 2 hours, then an increase back to 50 km in the next 3 hours. What could this represent?

Answer: The object moved away from a point, then returned, indicating a round trip.

Question 10: Identify and correct the mistake in interpreting a flat segment as stationary when the graph's axes are scaled differently.

Answer: The flat segment may be due to different axis scales; checking axis units clarifies motion.

Question 11: Determine the average speed of an object that covers 120 km in 4 hours, where the graph shows a straight line from (0,0) to (4,120).

Answer: 30 km/h