The magnitude of the displacement is always equal to or greater than the distance traveled. This is because the magnitude of displacement is the shortest distance between the initial and final positions, while distance traveled is the total length of the path taken.
True. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Therefore, the distance can never be greater than the magnitude of the displacement.
-- Distance is a scalar quantity, whereas displacement is a vector. -- Distance is the integral of magnitude of displacement. -- Magnitude of displacement is always less than or equal to distance. -- The two quantities are equal when the motion is in a straight line.
No, doubling an object's average speed does not always double the magnitude of its displacement. Displacement depends on both speed and direction. If the object changes direction or follows a curved path, the relationship between speed and displacement may not be linear.
Neither of the statements is universally true. Displacement can be zero if the starting and ending points are the same. The magnitude of displacement can be equal to, less than, or greater than the distance traveled by the object, depending on the path taken.
Not always. Distance is a scalar quantity that represents the total length of the path traveled, while displacement is a vector quantity that represents the shortest path between two points with direction. Usually, distance is greater than or equal to displacement, but in cases where the path taken is not straightforward, distance can be less than displacement.
That depends on what distance you are measuring.
True. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Therefore, the distance can never be greater than the magnitude of the displacement.
-- Distance is a scalar quantity, whereas displacement is a vector. -- Distance is the integral of magnitude of displacement. -- Magnitude of displacement is always less than or equal to distance. -- The two quantities are equal when the motion is in a straight line.
No, doubling an object's average speed does not always double the magnitude of its displacement. Displacement depends on both speed and direction. If the object changes direction or follows a curved path, the relationship between speed and displacement may not be linear.
Neither of the statements is universally true. Displacement can be zero if the starting and ending points are the same. The magnitude of displacement can be equal to, less than, or greater than the distance traveled by the object, depending on the path taken.
Not always. Distance is a scalar quantity that represents the total length of the path traveled, while displacement is a vector quantity that represents the shortest path between two points with direction. Usually, distance is greater than or equal to displacement, but in cases where the path taken is not straightforward, distance can be less than displacement.
The magnitude of two displacement vectors, of magnitude x and y, is sqrt(x2 + y2)
No, distance is not always greater than or equal to the magnitude of displacement. Distance measures the total path length traveled, while displacement is the straight-line distance between the initial and final positions. In some cases, especially with curved paths, the distance can be greater than the displacement.
The only case in which the magnitude of displacement and displacement are exactly the same is when the displacement occurs in a straight line. In such a scenario, the magnitude of displacement (distance between initial and final positions) will be equal to the displacement (change in position) as there is no change in direction.
false true
This is true -APEX
This is true -APEX