Question 1: A velocity-time graph shows a car accelerating steadily from 0 m/s to 20 m/s over 10 seconds. What is the acceleration of the car?

Answer: 2 m/s^2

Question 2: Plot a graph of y=3x for x values from 0 to 5 on the grid.

Answer: Students draw the line y=3x.

Question 3: A cyclist's velocity increases from 10 m/s to 30 m/s over 15 seconds. Calculate the average acceleration.

Answer: 1.33 m/s^2

Question 4: Identify the section of a velocity-time graph where the cyclist is moving at constant speed. How can you tell?

Answer: The horizontal line indicates constant speed.

Question 5: A boat's velocity decreases from 15 m/s to 0 m/s over 5 seconds. What is the rate of deceleration?

Answer: -3 m/s^2

Question 6: A graph shows a straight line sloping upwards from (0,0) to (10,50). What is the velocity of the object? Show your work.

Answer: 5 m/s

Question 7: A hiker walks at a steady speed, then suddenly stops for 2 minutes, then resumes walking. Sketch a velocity-time graph to represent this scenario.

Answer: Students draw a horizontal line, drop to zero, then continue.

Question 8: On a velocity-time graph, a steep slope indicates a rapid change in velocity. Provide a real-world example where such a change might occur.

Answer: A car accelerating rapidly on a highway.

Question 9: A runner's velocity decreases from 8 m/s to 0 m/s over 4 seconds. What is the deceleration? Show your calculations.

Answer: -2 m/s^2

Question 10: Identify and correct the common mistake: A student calculates acceleration as final velocity minus initial velocity divided by total time, but gets a negative value when the velocity increases. What is the mistake?

Answer: They should use final velocity minus initial velocity; if the velocity increases, the acceleration is positive. The negative indicates a mistake in sign.

Question 11: Describe how to determine the average velocity of an object from a velocity-time graph over a time interval.

Answer: Calculate the area under the graph and divide by the total time.

Question 12: A skateboarder accelerates from 0 m/s to 10 m/s in 5 seconds, then maintains that speed. Sketch and interpret the graph, explaining what the slope and flat sections represent.

Answer: Slope indicates acceleration; flat section indicates constant speed.