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When does distance traveled equal the magnitude of displacement vector?
Wiki User
∙ 8y ago
Distance traveled is equal to the magnitude of the displacement vector
when the motion is in a straight line.
Paul Wyman
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An object moves 15.0 m north and then 11.0 m south Find both the distance traveled and the magnitude of the displacement vector?
The total distance traveled (corresponding to the amount of gas the car would burn on such a trip) is 26 meters.The magnitude of the displacement vector = (Dfinal - Dinitial) = 4 meters north.
Can there be displacement without any distance being traveled?
Normally displacement means that some distance has been travelled. If you want to get picky, you can say that is you travel in a closed path, the displacement is zero. In such circumstances, when multiple movments are being combined, one makes is clearer by saying that combining several displacements gives the "net displacement." To get even more picky, we can point out that displacement is a vector defined by the separation of two points. The direction of the displacement vector is the direction of the second point relative to the first and the magnitude of the displacement vector is the magnitude of the distance between the two points. So, since displament is a vector and a vector can have zero length, one can say that you have a zero vector of displacement when no distance has been traveled.
The magnitude of a vector represents its?
That depends on what the vector, itself, represents. For example, if the vector represents velocity, then the magnitude of the vector represents speed. If the vector represents displacement, then the magnitude of the vector represents distance.
What is the relation between magnitude of distance and 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.
Can displacement be equal to total distance traveled by an object?
Yes,the magnitude of both distance and displacement can be same provided the body continues to travel in a straight line and in the same direction. However you should remember that displacement is a vector quantity while distance is a scalar quantity so they both can be compared only by there magnitude.
How are displacement and distance similar?
Distance and displacement are similar because both have magnitude.However, displacement is a vector quantity since it has both magnitude and direction whereas distance is a scalar quantity since it has only magnitude.
What is the difference between the distance vs displacement?
Shortest distance is called displacement . displacement =average velocity / average time . It is a vector quantity both has magnitude and direction.But,distance is a scalar quantity having only magnitude.
How are distance and displacement different?
Displacement is a vector quantity because it is has both magnitude and direction, while distance is a scalar quantity because it has only magnitude without direction.
Is displacment vector or scalar?
Displacement is a vector quantity and not a scalar quantity. This is because displacement has both magnitude and direction.
Is displacement a scalar or vector?
Displacement in any interval of time may be zero,positive or negative.Imagine that a car begins traveling along a road after starting from a specific signpost. To know the exact position of the car after it has traveled a given distance, you need to know not only the miles it traveled but also its heading.The displacement, defined as the change in position of the object, is a vector with the magnitude as a distance, such as 10 miles, and a direction, such as east. Velocity is a vector expression with a magnitude equal to the speed traveled and with an indicated direction of motion. For motion defined on a number line, a positive or negative sign specifies the direction.Average velocity is mathematically defined asaverage velocity = total displacement/time elapsedNote that displacement (distance from starting position) is not the same as distance traveled. If a car travels one mile east and then returns one mile west, to the same position, the total displacement is zero and so is the average velocity over this time period. Displacement is measured in units of length, such as meters or kilometers, and velocity is measured in units of length per time, such as meters/second (meters per second).
Can the distance travelled by a particle be zero when displacement is not zero?
The distance travelled by a particle cannot be zero when displacement is not zero because unlike distance which is a scalar, displacement is a vector quantity implying that it has both direction and magnitude.
Can the distance travelled by the particle be zero when the displacement is not zero?
The distance travelled by a particle cannot be zero when displacement is not zero because unlike distance which is a scalar, displacement is a vector quantity implying that it has both direction and magnitude.
