Question 1: A delivery van's velocity-time graph shows a steady speed of 60 km/h for 3 hours. Calculate the total distance traveled.

Answer: 180

Question 2: Plot a velocity-time graph for a cyclist accelerating from 0 km/h to 20 km/h over 4 hours. Use the grid properly.

Answer: Students will draw a rising line from (0,0) to (4,20).

Question 3: A company's delivery truck's velocity drops from 50 km/h to 0 km/h over 2 hours. What is the average deceleration if it slows evenly?

Answer: 25 km/h per hour

Question 4: A graph shows a constant velocity of 80 km/h for 5 hours. How far did the vehicle travel?

Answer: 400

Question 5: Explain what a steep slope on a velocity-time graph indicates about the vehicle's movement.

Answer: A steep slope indicates a rapid change in velocity, meaning the vehicle is accelerating or decelerating quickly.

Question 6: A truck accelerates uniformly from 10 km/h to 50 km/h over 4 hours. Sketch the graph and determine the acceleration rate.

Answer: Acceleration = (50-10) km/h ÷ 4 hours = 10 km/h per hour.

Question 7: A business monitors a delivery drone that maintains a speed of 30 km/h for 2 hours, then speeds up to 60 km/h over the next 1 hour. Draw the velocity-time graph.

Answer: Students will sketch a horizontal line at 30 km/h from 0 to 2 hours, then a rising line from 30 km/h to 60 km/h between 2 to 3 hours.

Question 8: A fleet of vehicles are analyzed. Vehicle A maintains a constant speed of 70 km/h, while Vehicle B accelerates from 50 km/h to 90 km/h over 3 hours. Which vehicle covers more distance in 3 hours? Show your work.

Answer: Vehicle A: 70 km/h × 3 hours = 210 km; Vehicle B: average speed (50+90)/2=70 km/h; 70 km/h × 3 hours=210 km; both cover 210 km.

Question 9: Identify and correct the mistake: A graph shows a slope of zero while the vehicle is moving. What does this imply and is it possible? Explain.

Answer: A zero slope indicates constant velocity, so the vehicle moves at a steady speed. The statement is correct; movement can occur at a constant speed, so it is possible.

Question 10: A delivery service notices that their velocity-time graph has a steep incline during the morning, then flattens out. What does this tell us about their delivery schedule?

Answer: The steep incline indicates rapid acceleration, likely during start-up or rush hours, and the flat section suggests constant speed during deliveries.