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No. The average speed is the average of the magnitude of the velocity but not the magnitude of the average of the velocity.
This is because for vectors |A + B| ≤ |A| + |B|.
Suppose you travel 100 metres due East at 10 metres per second and then 100 metres due North also at 10 metres per second. Your speed, throughout, is 10 metres per second and so that is your average speed.
But your average velocity is the total displacement vector divided by the total time. This is
100*sqrt(2) metres due NE/20 sec = 7.07 metres per second due North East.
Its magnitude is 7.07 metres/sec.
What else can I help you with?
Does average velocity and average speed have the same number?
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.
How is velocity diffrent from speed?
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.
What the definitioin of speed?
The definition of speed is the size/magnitude/measure of an object's velocity. Average speed = distance divided by time
Are speed and acceleration the same?
No. Speed is the magnitude of velocity and acceleration is the change of velocity in time.
A velocity vector tells you two things?
Speed (which is a magnitude), and the direction.Speed (which is a magnitude), and the direction.Speed (which is a magnitude), and the direction.Speed (which is a magnitude), and the direction.
Does average velocity and average speed have the same number?
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.
Is distance the magnitude for average velocity?
No. Average speed is.
The magnitude of the average velocity vector?
The magnitude is the speed, such as m/s or km/h.
Is overall velocity the same as average speed?
No, velocity is a vector quantity (i.e. magnitude & direction) while speed is a scalar quantity (i.e. magnitude only).
When is speed equal to the magnitude of velocity?
Speed is equal to the magnitude of velocity when the object is moving in a straight line without changing direction. In other words, if the velocity vector is pointing in the same direction as the motion of the object, then the speed will be equal to the magnitude of the velocity.
Is velocity a vector or a scalar?
no its a vector quantity,not a scalar quantity,bcz still it z a velocity bt NT a speed On a typical journey the average velocity is the straight-line distance between the start and finish, divided by the time taken, and it also has a direction. The average speed is the actual distance run, divided by the speed. The average speed might not be equal to the magnitude of the average velocity. For example on a round trip the average speed might be 40 mph, while the average velocity is zero.
How is speed difrent from velocity?
Velocity has magnitude and direction and speed only has magnitude.
What is the magnitude of velocity?
what is magnitude of average velocity
Is numerical ratio of average velocity to average speed always equal?
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.
Is the average speed equal to the magnitude of the average velocity justify your answer?
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...
How is velocity diffrent from speed?
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.
Can your speed and velocity ever have the same magnitude?
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
