Question 1: Plot the graph of y = 2x for x values from 0 to 5. Use the grid to draw the line accurately.

Answer: See full answer key

Question 2: Construct a distance-time graph for a car that travels at a constant speed of 3 km/h for 4 hours. Plot the data points and draw the line.

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Question 3: The graph shows a vehicle moving with a constant speed. If the distance covered in 2 hours is 20 km, what is the speed of the vehicle?

Answer: 10 km/h

Question 4: Plot the points (1, 4), (2, 8), and (3, 12). Connect the points to form a straight line. What is the equation of this line?

Answer: y=4x

Question 5: A cyclist accelerates from rest to a speed of 10 km/h in 5 minutes. Draw an approximate distance-time graph to represent this scenario.

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Question 6: Identify the mistake in this graph: The line shows a decrease in distance over time, but the vehicle was moving forward. What is wrong with the graph?

Answer: The line should slope upwards, not downwards

Question 7: Draw a distance-time graph for an object that moves at 5 km/h for 3 hours, then stops for 2 hours, and resumes moving at 5 km/h for another 3 hours.

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Question 8: A runner's distance-time graph is a straight line sloping upward, then suddenly flattens, then slopes upward again. What could this pattern represent?

Answer: Running, then resting, then running again

Question 9: Using the graph, if a vehicle covers 15 km in 3 hours, what is its average speed?

Answer: 5 km/h

Question 10: Challenge: Construct a distance-time graph for a journey where the distance doubles every hour for 4 hours. Draw the graph and describe the pattern.

Answer: See full answer key

Question 11: Error Analysis: The following graph shows a decreasing distance over time, but the vehicle was moving away from the start point. What correction should be made?

Answer: The line should slope upwards, indicating increasing distance