Question 1: A car travels at a constant speed of 60 km/h for 2 hours. Calculate the distance travelled.

Answer: 120

Question 2: A cyclist's velocity increases linearly from 0 km/h to 30 km/h over 10 minutes. What is the total distance travelled during this time? (Use appropriate units and assumptions.)

Answer: 2.5

Question 3: On a velocity-time graph, a straight line rises from 0 to 40 km/h over 8 minutes. Sketch and explain how to find the distance travelled during this period.

Answer: The area under the graph is a triangle with base 8 minutes and height 40 km/h. Convert minutes to hours, then use Area = 0.5 × base × height to find distance.

Question 4: A vehicle's velocity-time graph shows a constant velocity of 50 km/h for 3 hours, then decelerates uniformly to 0 km/h over 1 hour. Find the total distance travelled.

Answer: 200

Question 5: Using the graph below, which shows a cyclist's velocity over time, determine the total distance travelled during the 15 minutes. (Construct the graph on the grid.)

Answer: Calculate the area under the graph, which could be a combination of rectangles and triangles, then add together.

Question 6: A train accelerates from 0 to 80 km/h in 4 minutes, then travels at this constant speed for 10 minutes. Calculate the total distance covered.

Answer: 18.67

Question 7: A runner maintains a velocity of 12 km/h for 30 minutes, then increases to 15 km/h for the next 20 minutes. What is the total distance run?

Answer: 9

Question 8: A boat's velocity decreases linearly from 20 km/h to 0 over 5 minutes. Sketch the graph and find the total distance travelled.

Answer: Area of triangle = 0.5 × 5/60 hours × 20 km/h = 0.5 × (5/60) × 20 = 0.833 km.

Question 9: Identify and correct the mistake in the following student solution: A student calculates distance by multiplying velocity by time without considering units or conversion.

Answer: The mistake is ignoring units or conversions; students must convert minutes to hours or ensure units are consistent.