Question 1: Define a distance-time graph and explain what information it provides about an object's motion.

Answer: A distance-time graph plots the distance of an object from a starting point over time, showing how far the object has traveled at any given moment and indicating whether it is moving or stationary.

Question 2: What does a straight horizontal line on a distance-time graph indicate about the object's motion?

Answer: It indicates that the object is stationary and not changing its distance over time.

Question 3: Describe what the slope of a distance-time graph represents.

Answer: The slope represents the speed of the object; a steeper slope indicates a higher speed.

Question 1: A car travels 150 kilometers in 3 hours. Calculate its average speed in km/h.

Answer: Speed = Distance / Time = 150 km / 3 hr = 50 km/h

Question 2: If a bicycle covers 24 meters in 8 seconds, what is its average speed in meters per second?

Answer: Speed = 24 m / 8 s = 3 m/s

Question 1: Describe a simple experiment to measure the speed of a toy car using a distance-time graph. Include the variables you would control and observe, and safety precautions.

Answer: Set up a straight track with a measured length. Use a stopwatch to time the car over a known distance. Control variables such as surface type and starting position. Observe the time taken and calculate speed. Ensure the track is stable and the area is clear of obstacles to ensure safety.

Question 2: Explain why a steep slope on a distance-time graph indicates a higher speed compared to a gentle slope.

Answer: A steeper slope means the object covers more distance in less time, indicating a higher speed.

Question 1: A runner's distance-time data shows a flat line for the first 10 seconds, then a steep slope for the next 20 seconds, and finally a flat line again. Describe the runner's motion during each phase.

Answer: The runner was stationary during the first 10 seconds, then increased speed during the next 20 seconds, and then stopped again.

Question 2: A cyclist covers 30 km in 2 hours, then pauses for 30 minutes, then continues and covers an additional 20 km in 1 hour. Describe the overall motion and calculate the average speed for the entire trip.

Answer: Total distance = 30 km + 20 km = 50 km. Total time = 2 hr + 0.5 hr + 1 hr = 3.5 hr. Average speed = 50 km / 3.5 hr ≈ 14.29 km/h.

Question 1: How can understanding distance-time graphs help in planning transportation schedules?

Answer: They help estimate travel times, determine the speed of vehicles, and optimize schedules for efficiency and safety.

Question 2: In what ways are distance-time graphs useful in the development of autonomous vehicles?

Answer: They provide data for programming vehicle speed adjustments, detecting stationary objects, and ensuring safe navigation by analyzing motion patterns.