Question 1: Describe what a horizontal line on a velocity-time graph indicates about the motion of an object.

Answer: The object is moving at a constant velocity.

Question 2: Calculate the velocity of the object during the time interval from 4 seconds to 8 seconds, given the graph shows a line at 12 m/s in this period.

Answer: 12 m/s

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

Answer: Students will draw the line y=3x on the grid.

Question 4: A car accelerates from 0 to 20 m/s in 10 seconds. Sketch the velocity-time graph for this motion.

Answer: Students will draw an upward sloping line from (0,0) to (10,20).

Question 5: A cyclist's velocity increases linearly from 0 m/s to 15 m/s over 5 seconds. What is the average velocity during this period?

Answer: 7.5 m/s

Question 6: Using a velocity-time graph, explain how you can determine the total distance traveled by the object over a given period.

Answer: By calculating the area under the velocity-time graph between the start and end times.

Question 7: Identify the mistake in this interpretation: 'Since the graph shows a constant velocity of 10 m/s, the object travels 10 meters every second.'

Answer: The statement is correct; it accurately interprets constant velocity as distance traveled per second.

Question 8: Determine the acceleration of an object if its velocity increases from 5 m/s to 15 m/s over 4 seconds.

Answer: 2.5 m/s²

Question 9: A velocity-time graph shows a straight line sloping upward from 0 to 30 m/s over 6 seconds. What is the acceleration?

Answer: 5 m/s²

Question 10: Construct a velocity-time graph to show an object moving at a constant speed for 10 seconds, then stopping suddenly at 12 seconds. Describe your sketch.

Answer: A horizontal line at constant velocity followed by a sharp drop to zero at 12 seconds.

Question 11: A student mistakenly interprets a decreasing velocity graph as an object slowing down, but the graph shows a negative slope. What correction should you make?

Answer: A negative slope indicates deceleration, so the object is slowing down, which is correct; clarify the concept of negative velocity.

Question 12: Explain how the area under a velocity-time graph relates to the displacement of the object. Provide an example with a rectangular area.

Answer: The area under the graph represents the total displacement. For example, a rectangle of 4 seconds and 10 m/s velocity covers 40 meters.