Shows how the velocity of four cars
Changed as they travelled along a straight road.Give reasons for your answers to these questions:
(a)which car was travelling at a speed?
(b)which car was decelerating?
(c)which car had the greatest acceleration?
a) The car travelling at the highest speed was likely travelling at the greatest velocity.
b) The car that was decelerating was likely the one that had the greatest decrease in velocity over time.
c) The car with the greatest acceleration was likely the one that had the greatest increase in velocity over time.
In order to determine which car was traveling at a constant speed, decelerating, and had the greatest acceleration, we would need specific data and velocity values for each car at different points along the road. Without this information, it is not possible to provide a specific answer to your questions.
To determine the answers to these questions, we need to analyze the velocity-time graph of the four cars. A velocity-time graph shows the change in velocity of an object over a certain period of time.
To analyze the graph, follow these steps:
1. Identify the car with the steepest positive slope (the highest upward slope on the graph). This car is traveling at a constant speed. The steeper the slope, the higher the speed. Therefore, the car with the steepest positive slope is the car traveling at a constant speed.
2. Identify any car with a negative slope (downward slope). This indicates that the car is decelerating, which means its velocity is decreasing. The car with a negative slope on the graph is the car that is decelerating.
3. Calculate the acceleration for each car by calculating the change in velocity over time. The car with the highest acceleration will have the steepest positive slope on the graph.
Now, let's apply these steps to answer the questions:
(a) Which car was traveling at a speed?
Look for the car with a constant speed, which is represented by a straight line on the graph. Identify the one with the steepest positive slope. That car was traveling at a speed.
(b) Which car was decelerating?
Identify any car with a negative slope on the graph. The car with a negative slope was decelerating.
(c) Which car had the greatest acceleration?
Calculate the slope of each car's graph line by determining the change in velocity over time. The car with the steepest positive slope has the greatest acceleration.
Remember, the analysis of the velocity-time graph will provide the necessary information to answer these questions accurately.