That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.
No, speed is a scalar quantity that only has magnitude and no direction. It is the rate at which an object covers distance. Velocity, on the other hand, is a vector quantity that includes both magnitude and direction.
Velocity refers to both speed and direction. A vector refers to both magnitude (the speed in this case) and a direction. Speed without reference to a direction is a scalar, a magnitude without direction.
Yes usually and no rarely, velocity is defined as a vector, having both a direction and a magnitude (which is speed in the case of velocity). For instance 100 mph (speed) east (0o) (direction). In this form it is easy to see that the magnitude is 100 mph but mathematically to determine the magnitude of a vector you would divide the vector by its direction. 100 mph 0o / 0o = 100 mph Average speed and average velocity share the same relationship as instantaneous speed and instantaneous velocity so divide out the average direction from your average velocity to determine your average speed. If this is over a time period and you know the beginning and ending places in space your averages will simply be the difference from the starting to the ending places. So yes so long as you define speed to actually be the magnitude of the vector. However, if speed is taken without direction over time it may become something different. If an object travels along a vector with a negative magnitude its speed will not be negative but its vector magnitude will. Ex: A car travelling in reverse still has a positive speed but a compass will show it to be heading in the opposite direction of travel, a negative vector value...
Velocity includes both speed (magnitude of the velocity) and direction, while speed is just the magnitude of the velocity without any indication of direction. So velocity is a vector quantity, whereas speed is a scalar quantity.
Yes, an object can have a constant speed but varying velocity if it changes direction while moving at that speed. Velocity includes both speed and direction, so if an object is moving in a straight line at a constant speed but changing direction, then its velocity is constantly changing even though its speed remains the same.
Speed is equal to the magnitude of velocity almost always. Speed is total distance / total time no matter which way the distance goes. Velocity is the distance from a starting point divided by total time.
speed (magnitude of velocity)
Because speed is the magnitude of the velocity vector. The velocity consists of the speed and the direction, and the whole thing can be embodied in a 3D vector. If you like the velocity is the magnitude (the speed), which is a scalar (just a real number), multiplied by a unit vector in the right direction.
The velocity and speed of a moving body become equal when the motion is along a straight line with no change in direction. In such cases, the velocity and speed have the same magnitude.
Velocity has magnitude and direction and speed only has magnitude.
velocity is a vector and speed is scalar. Velocity has magnitude and directions, with magnitude being speed. The magnitude of average velocity and average speed is the same.
-- The magnitude of acceleration is equal to the time rate of change of speed. -- The magnitude of acceleration is equal to the time rate of change of the magnitude of velocity. -- Acceleration and velocity are both vectors.
Then you can say that the object's speed and the magnitude of its velocity are constant, and the magnitude of its acceleration is zero.
Velocity is a vector, and so it has two components -- magnitude (speed) and direction. Speed is a scalar, and it is the magnitude of velocity, a vector.
It's not. Unless you add a direction to speed it will not become velocity. Since positive and negative are sometimes used to denote direction, absolute value of velocity may equal speed (certain situations)
Speed and velocity always have the same magnitude, becausespeed is the magnitude of velocity.The difference is that velocity has a direction but speed doesn't
No, the numerical ratio of average velocity to average speed is not always equal. Average velocity is a vector quantity that includes both magnitude and direction, while average speed is a scalar quantity that only considers magnitude. The ratio will be equal only when the object moves in a straight line.