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Is the average speed equal to the magnitude of the average velocity justify your answer?
Wiki User
∙ 13y ago
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...
Wiki User
∙ 13y ago
No, the average speed and magnitude of average velocity are not always equal. Average speed is the total distance traveled divided by the total time taken, while average velocity is the displacement divided by time, including direction. If an object changes direction during the motion, then the average speed and average velocity will differ.
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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.
Why average velocity of molecules in gas zero whereas the average square of velocity is not zero?
The average velocity of gas molecules is zero because the molecules have equal likelihood of moving in any direction, so their velocities cancel out over time. However, the average square of velocity is not zero because it takes into account the magnitude of the velocities, which are all positive values and sum up to a non-zero value.
What will be the relative velocity if two electrons approach each other?
The relative velocity of two electrons approaching each other would be the sum of their individual velocities. Given that both electrons have the same charge and mass, their velocities would be equal in magnitude but opposite in direction. This would result in a combined relative velocity of zero when they meet.
Is it possible for the average velocity of an object to be zero during some interval even thought its average velocity for the first half of the interval is not zero reexplain and cite an example?
Yes, it is possible for the average velocity of an object to be zero during a given interval even if its average velocity for the first half of the interval is not zero. This can occur when the object moves in opposite directions such that the distances traveled cancel out over the entire interval. For example, if an object moves 3 meters to the right and then 3 meters to the left in equal times, its average velocity for the entire interval would be zero.
Is it true or false that on a position time graph the average velocity is not equal to the slope of the line?
It is false. The slope of a straight line on a position-time graph is the average velocity. Slope = y2-y1/x2-x1. On a position-time graph, y is the position (d), and x is the time (t). So y2-y1 = df-di = displacement, and x2-x1 = tf-ti = time interval. Average velocity = displacement/time interval = df-di/tf-ti
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.
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.
When is the average velocity is equal to the instantaneous velocity?
Average velocity equals the average speed if (and only if) the motion is in the same direction. If not, the average speed, being the average of the absolute value of the velocity, will be larger.
What condition average speed is equal to average velocity?
1. magnitude of distance covered is equal to the magnitude of displacement. 2. the motion of the object is in a straight line i.e. in a particular direction.
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.
When average velocity and average speed is equal?
For the instantaneous value of average velocity, average speed and average velocity are equal.
Does the instantaneous speed ever equal the magnitude of its average velocity?
Yes, instantaneous speed can be equal to the magnitude of the average velocity when an object is moving in a straight line without changing its direction during the motion. This occurs at the moment when the instantaneous velocity vector is in the same direction as the average velocity vector.
When is speed equal to magnitude of velocity?
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.
When is the average velocity equal to average of velocity for an object?
Always.
The slope of a position vstime graph is equal to?
speed (magnitude of velocity)
What happens if an object covers equal distances in equal periods of time?
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.
Is the magnitude of instantaneous velocity always equal to the instantaneous speed?
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.
