Of course. If you run around a circular track one time and stop when you reach the
starting line, then the distance traveled is the circumference of the track, but the
displacement is zero.
Displacement can be anything between zero and the distance, but it can never be
more than the distance.
In general, the magnitude of displacement can be either greater than, equal to, or less than the magnitude of the distance traveled. This depends on the specific path taken by the object. If the path involves any changes in direction, the displacement can be shorter than the distance traveled. If the object moves in a straight line, the displacement and distance traveled will be equal.
-- 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, the displacement cannot be longer than the distance traveled. Displacement is the shortest distance between the starting and ending points regardless of the path taken, while distance traveled is the total length of the actual path taken.
Not possible. The displacement could be equal to the distance traveled ... if the route of travel was a straight line ... or less than the distance traveled ... if the route of travel was wavy and wiggly. But you can never wind up farther from your starting point than the distance you travel.
Not necessarily. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Displacement can be less than, equal to, or greater than distance depending on the path taken.
In general, the magnitude of displacement can be either greater than, equal to, or less than the magnitude of the distance traveled. This depends on the specific path taken by the object. If the path involves any changes in direction, the displacement can be shorter than the distance traveled. If the object moves in a straight line, the displacement and distance traveled will be equal.
-- 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, the displacement cannot be longer than the distance traveled. Displacement is the shortest distance between the starting and ending points regardless of the path taken, while distance traveled is the total length of the actual path taken.
Not possible. The displacement could be equal to the distance traveled ... if the route of travel was a straight line ... or less than the distance traveled ... if the route of travel was wavy and wiggly. But you can never wind up farther from your starting point than the distance you travel.
Not necessarily. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Displacement can be less than, equal to, or greater than distance depending on the path taken.
No.
No, the displacement can never be greater than the distance traveled. Displacement is a vector representing the straight-line distance between the start and end points, while the distance traveled is the actual length of the path taken. Since displacement is a straight-line measure, it can never exceed the distance traveled along a path with turns and curves.
No. The "displacement" is the difference in position, which is not the same as the distance traveled.
Distance is a scalar quantity that measures the total path length traveled, regardless of direction. Displacement is a vector quantity that measures the change in position from the starting point to the ending point in a straight line. Displacement can be equal to or less than distance traveled, but never greater.
No, displacement and distance are not always equal. Distance measures the total length traveled regardless of direction, while displacement measures the change in position from start to end point, including direction. Displacement can be less than, equal to, or greater than distance depending on the path taken.
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.
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.