Question 1: Calculate the acceleration of a car that increases its velocity from 0 m/s to 20 m/s in 5 seconds.

Answer: 4 m/s²

Question 2: A cyclist accelerates from 5 m/s to 15 m/s over 10 seconds. What is the acceleration?

Answer: 1 m/s²

Question 3: Construct a velocity-time graph for an object accelerating uniformly from 0 to 30 m/s in 6 seconds. Draw on the grid.

Answer: See student's graph

Question 4: A science experiment shows an object’s velocity increasing from 10 m/s to 40 m/s over 8 seconds. What is its acceleration?

Answer: 3.75 m/s²

Question 1: In a science experiment, a toy car accelerates uniformly from 2 m/s to 10 m/s in 4 seconds. Calculate the acceleration. Then, determine the velocity after an additional 3 seconds assuming constant acceleration.

Answer: Initial acceleration = 2 m/s²; velocity after 7 seconds = 2 + (2×7) = 16 m/s

Question 2: A roller coaster's speed increases steadily from 0 to 25 m/s over a 10-second interval. Draw the velocity-time graph on the grid. Then, calculate the acceleration.

Answer: Graph: straight line from (0,0) to (10,25); acceleration = 2.5 m/s²

Question 1: During a physics experiment, a projectile accelerates upward with a constant acceleration of 9.8 m/s². If its initial velocity is 0 m/s at launch, what is its velocity after 3 seconds?

Answer: 29.4 m/s

Question 2: In a science experiment, a drone accelerates from rest to 12 m/s in 4 seconds. Construct the velocity-time graph for this acceleration. What is the acceleration?

Answer: Graph: straight line from (0,0) to (4,12); acceleration = 3 m/s²

Question 1: A car accelerates from 5 m/s to 25 m/s in 8 seconds. If the acceleration is not uniform, explain how the velocity-time graph might differ from a straight line and what this indicates about the acceleration.

Answer: The graph would be curved, indicating variable acceleration; the rate of change of velocity is not constant.

Question 2: For a scientific experiment, the velocity of an object is given by v = 3t² + 2t, where v is in m/s and t in seconds. Find the acceleration at t = 4 seconds.

Answer: a = dv/dt = 6t + 2; at t=4, a=6×4+2=26 m/s²

Question 1: A skateboarder accelerates from 2 m/s to 8 m/s over 3 seconds. Calculate the acceleration.

Answer: 2 m/s²

Question 2: Explain why a straight line on a velocity-time graph indicates constant acceleration.

Answer: Because the slope (rate of change of velocity) remains the same, indicating a constant acceleration.

Question 1: A student calculates acceleration as 15 m/s ÷ 5 s = 3 m/s. Why is this incorrect, and what is the proper way to calculate acceleration?

Answer: Incorrect because acceleration is the change in velocity divided by time; the student used velocity and not change in velocity. Proper calculation: (final velocity - initial velocity) / time.