Question 1: Explain what the slope of a distance-time graph represents about the object's motion.

Answer: The speed or rate of change of distance with respect to time.

Question 2: A graph shows a straight line sloping upwards. What does this indicate about the object's movement?

Answer: The object is moving at a constant speed away from the starting point.

Question 3: On a distance-time graph, what does a flat (horizontal) line represent?

Answer: The object is stationary or not moving.

Question 4: Identify the common mistake in interpreting a steep slope as implying the object is moving faster, and explain why this might be incorrect.

Answer: Students might confuse the steepness with actual speed; the slope depends on units and scale, not just steepness.

Question 5: If a graph shows a line that suddenly flattens, what can you conclude about the object's motion?

Answer: The object has stopped moving; it became stationary.

Question 1: Plot the graph of y = 3x for x = 0 to 5.

Answer: See student drawing.

Question 2: Calculate the speed if a distance-time graph rises 60 meters over 10 minutes.

Answer: Speed = 6 meters per minute.

Question 3: A graph shows a line with a gentle slope. Is the object moving fast or slow? Explain.

Answer: Slow, because the slope is gentle, indicating a lower speed.

Question 1: A car travels along a straight road. Its distance-time graph shows a slope of 4 km/h for the first 2 hours, then a flat section for 1 hour, then a steeper slope of 6 km/h for the next 3 hours. Draw this graph and explain what each section indicates about the car's movement.

Answer: The first slope indicates constant speed at 4 km/h; the flat section shows the car stopped; the steeper slope indicates increased speed at 6 km/h.

Question 2: An object’s distance doubles every 2 minutes. If it starts at 5 meters, what is its distance after 6 minutes? Show your calculations.

Answer: Initial 5m → after 2 min: 10m → after 4 min: 20m → after 6 min: 40m.

Question 1: A runner’s distance-time graph shows a straight line sloping upwards, then a horizontal line, then a steeper upward slope. Describe the runner's activity during each segment.

Answer: Running at constant speed, then resting, then running faster.

Question 2: A cyclist’s distance increases rapidly, then stops for 10 minutes, then increases slowly. What could be happening in each phase?

Answer: Cycling fast, then taking a break, then cycling at a slower pace.

Question 1: Construct a distance-time graph showing an object that accelerates from 0 to 20 m over 4 seconds, then moves at a constant 20 m/s for 6 seconds.

Answer: A graph with a curved, increasing slope for acceleration, then a straight line for constant speed.

Question 2: Given a graph with an incorrectly labeled slope indicating decreasing speed, explain the mistake and how to interpret the real slope.

Answer: Mistake: assuming slope always indicates speed; in reality, the slope's steepness relative to units shows speed, but scale matters. The slope decreasing could mean slowing down, but verify units and scale.

Question 1: If a distance-time graph shows a line with a negative slope, what does this tell you about the object's movement?

Answer: The object is moving back toward the starting point or decreasing its distance.

Question 2: A graph has a steep upward slope, then a gentle slope. Which indicates faster movement? Why?

Answer: The steep slope shows faster movement because the distance increases rapidly.