From a velocity graph, can you tell where the starting position is? Also, can you tell where the ending position is relative to the starting position? Explain.
No
Yes
Maybe you were in New York when you started at 5 m/s and maybe you were in Boston. The graphs would be the same, constant 5 m/s
You can however integrate the velocity to find the distance moved during the trip. x - x initial = integral of V dt
From a velocity graph, you cannot directly determine the exact starting position. The velocity graph only provides information about the rate at which an object's position is changing over time, but it does not provide specific information about the initial position.
However, if you have additional information about the motion, such as the initial position or the time at which the object starts moving, you can use that information in conjunction with the velocity graph to determine the starting position.
To do this, you would need to integrate the velocity graph to obtain the displacement graph. The area under the velocity graph represents the displacement of the object. If you know the initial position or the time at which the object starts moving, you can use that information to determine the starting position by finding the corresponding point on the displacement graph.
As for the ending position relative to the starting position, you can determine it by examining the displacement graph. The displacement at any given time represents the change in position from the starting position. If the displacement is positive, it means that the object has moved in the positive direction relative to the starting position. If the displacement is negative, it means the object has moved in the opposite (negative) direction from the starting position.
So, by analyzing the displacement graph, you can determine whether the ending position is located in the positive or negative direction relative to the starting position.