Position vs. time graphs are a useful tool for analyzing the motion of objects. They can be used to determine the velocity, acceleration, and displacement of objects at any given time.
The image you sent is a position vs. time graph of a car moving in a straight line.
Was the line created a linear or nonlinear line?
The line is linear. This can be seen from the fact that the graph is a straight line, which means that the slope of the line is constant. A constant slope indicates that the car is moving at a constant velocity.
Was there a direct or inverse relationship between position and time and why?
There is a direct relationship between position and time. This means that as the car moves forward in time, its position also increases. This is because the car is moving at a constant velocity, which means that it is traveling a certain distance in each unit of time.
What does the slope of the line tell you?
The slope of the line tells you the velocity of the car. The steeper the slope, the faster the car is moving. In this particular case, the slope of the line is positive, which means that the car is moving in the positive direction (i.e., forward).
To calculate the velocity of the car, we can use the following formula:
velocity = slope of the position vs. time graph
In this case, the slope of the graph is 12 m/s. Therefore, the velocity of the car is 12 m/s.
Here is an example of a question that can be answered using the position vs. time graph:
How far has the car traveled after 5 seconds?
To answer this question, we can simply multiply the velocity of the car by the time it has been moving:
distance = velocity * time
distance = 12 m/s * 5 s = 60 m
Therefore, the car has traveled 60 meters after 5 seconds..