Figure 2.31 shows how the velocity of four cars changed as they travelled along a straight road. Give reasons for your answer to these questions
a) Which car had the greatest acceleration?
Answer: Car C had the greatest acceleration, as it had the greatest change in velocity over the given time period.
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To answer the questions about Figure 2.31, we need to analyze the graph and look for patterns or trends in the velocity of the four cars as they travel along a straight road. Here's how you can approach each question:
1. Which car(s) had the greatest positive acceleration at time t = 10 seconds?
To determine the car(s) with the greatest positive acceleration at t = 10 seconds, look for the steepest slope or the cars that have the greatest increase in velocity during that time. Calculate the change in velocity (∆v) for each car from t = 0 seconds to t = 10 seconds, and compare the values. The car(s) with the greatest ∆v has the greatest positive acceleration.
2. Which car(s) had a constant velocity throughout the time interval shown?
To identify the car(s) with a constant velocity, look for the cars that have a horizontal line on the graph, indicating that their velocity remains the same over the entire time interval shown. Look for lines that do not have any slope.
3. Which car(s) had negative acceleration during the time interval shown?
To find the car(s) with negative acceleration, look for the cars where their velocity decreases over time. Calculate the change in velocity (∆v) for each car and compare the values. If ∆v is negative for any car, it means their velocity decreased, indicating negative acceleration.
4. Which car(s) had the greatest velocity at time t = 20 seconds?
To determine the car(s) with the greatest velocity at t = 20 seconds, locate the velocity values for each car at that specific time. Compare the velocities and identify the car(s) with the highest value.
By following these steps and analyzing the graph in Figure 2.31, you will be able to provide reasons for your answers to the questions about the velocity of the four cars.