If the graph represents the national debt from 1935 to 1950, then it has
nothing whatsoever in common with the velocity of anything.
If, however, the graph represents the position of a moving object as time passes, then
the slope of the graph is numerically equal to the magnitude of the object's velocity,
which is also its speed.
A graph typically tells nothing about the direction of the object's motion. It it's specifically
drawn to indicate the azimuth (bearing) of the motion at each instant of time, then its
slope is the time derivative of the velocity's direction. I don't know any special catchy
term for that quantity.
speed is how fast an element moves .velocity includes the speed of an object and direction of its motion
The slope gives the velocity of the motion in the direction away from the origin.
a magnitude - the quantity representing how fast an object is moving
Both tell you how fast distance is being covered,
but only velocity tells you in what direction.
Velocity and speed are not synonyms.
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.
Velocity.
No. Velocity includes a direction vector, which speed does not have.
Speed is a scalar quantity (direction does not matter) and velocity is a vector quantity) ie velocity means speed in a specific direction. If you are changing direction (turning) in a car, your speed is the same, while your velocity changes.
In common speech, velocity means speed, they are the same thing.
That they have "Speed" in common.
In common language, the terms "velocity" and "speed" are used interchangeably. In physics, "velocity" is a vector, and "speed" is not - meaning that when the word "velocity" is used, it specifies not just how fast something moves, but also in what direction.
In common language, the terms are used interchangeably. But in physics, speed is a scalar; velocity is a vector. That is, a speed is just a number (and a unit) - for example, 50 kilometers/hour. But when it is important to distinguish a direction, you talk about a velocity. For example, "50 kilometer/hour to the north". Velocity is a speed AND a direction. "50 km/hour north" and "50 km/hour east" are the same speed but different velocity.
velocity is speed with direction; velocity is a vector and speed is a scalar
Speed has no direction, velocity does.
Velocity and speed are not synonyms.
Speed in a given direction is velocity.
SPEED has the speed only; while VELOCITY has the direction and the speed.
TIME is a factor in both measurements. Velocity is speed (distance divided by TIME) in a given direction. Acceleration is measured in velocity per unit of TIME. Therefore, they both have TIME in common.
TIME is a factor in both measurements. Velocity is speed (distance divided by TIME) in a given direction. Acceleration is measured in velocity per unit of TIME. Therefore, they both have TIME in common.
Instantaneous speed is the magnitude of the velocity. Velocity also states the [direction] of the speed.