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

Answer: A distance-time graph shows how the distance from a starting point changes over time, indicating the speed and motion of an object.

Question 2: Describe what a straight line with a positive gradient indicates about an object's motion.

Answer: It indicates uniform motion at constant speed, with the object covering equal distances in equal times.

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

Answer: 50 km/h

Question 2: A cyclist covers a distance of 20 km in 1 hour 30 minutes. What is the average speed in km/h? (Show your working.)

Answer: 13.33 km/h

Question 3: If an object moves with a constant speed of 10 m/s and covers a distance of 200 m, how long does the journey take? (Answer in seconds.)

Answer: 20 seconds

Question 1: Suggest two variables that should be controlled when conducting an experiment to measure the speed of a moving object using distance-time data.

Answer: Variables such as the starting point, measurement timing, or environmental conditions should be controlled to ensure accurate results.

Question 2: List two safety precautions to consider when conducting experiments involving moving objects in the laboratory.

Answer: Ensuring objects are securely fastened and maintaining a clear area to prevent accidents.

Question 1: A runner's distance-time data shows a straight line with a steep positive gradient for the first 10 seconds, then a less steep gradient afterwards. What can you infer about the runner's motion during these periods?

Answer: Initially, the runner was moving at a higher constant speed, then slowed down to a lower constant speed.

Question 1: Explain how the gradient of a distance-time graph relates to the speed of an object. (6 marks)

Answer: The gradient of a distance-time graph is equal to the speed of the object. A steeper gradient indicates a higher speed, while a flatter gradient indicates a lower speed. For objects moving at constant speed, the graph is a straight line, and the gradient can be calculated by dividing the change in distance by the change in time.

Question 1: Discuss how distance-time graphs are used in the transportation industry to improve safety and efficiency.

Answer: Distance-time graphs help monitor vehicle speeds, ensure compliance with speed limits, plan efficient routes, and analyse traffic patterns to enhance safety and reduce congestion.