### Speed and Velocity

No, the average speed is not always equal to magnitude of average velocity vector. even thinking: medical, financial and personal issues, along with all the d. Pointing out the difference may appear to be nit-pickery, but is sometimes (as in physics) important. For example: Originally Answered: How are speed and velocity related? How is this That's the average speed of the car (no direction given). .. Originally Answered: What is the relationship between speed and velocity?. Explain the relationships between instantaneous velocity, average velocity, . However, under many circumstances, we can find precise values for instantaneous velocity without calculus. One major difference is that speed has no direction.

### What is the Difference Between Speed and Velocity? - Universe Today

Thus, the average velocity can be very minimal. A zero displacement can even occur when the destination came back to the origin. In this case, the average velocity is also zero. If the direction of the whole course is straight, the average speed and the average velocity will be equal.

Average speed is a scalar quantity, while average velocity is a vector quantity. Average speed takes into account the total distance traveled, while average velocity is concerned with the displacement between two points. In average velocity, direction is expressed. More often than not, the values will differ, with average speed usually having the higher value.

## Instantaneous speed and velocity

Average velocity can be equal to zero, even when the body has completed a traveling motion, as long as the destination point is back at the origin. Velocity as a Vector Quantity Velocity is a vector quantity that refers to "the rate at which an object changes its position. While this might result in a frenzy of activity, it would result in a zero velocity.

Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity. If a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position.

### Instantaneous speed and velocity (video) | Khan Academy

Every step must go into moving that person further from where he or she started. For certain, the person should never change directions and begin to return to the starting position. Velocity is a vector quantity.

**Time Speed Distance Tricks – Average Speed ( GMAT / GRE / CAT / Bank PO / SSC CGL )**

As such, velocity is direction aware. When evaluating the velocity of an object, one must keep track of direction. One must include direction information in order to fully describe the velocity of the object. This is one of the essential differences between speed and velocity. Speed is a scalar quantity and does not keep track of direction; velocity is a vector quantity and is direction aware.

Determining the Direction of the Velocity Vector The task of describing the direction of the velocity vector is easy. The direction of the velocity vector is simply the same as the direction that an object is moving. It would not matter whether the object is speeding up or slowing down. If an object is moving rightwards, then its velocity is described as being rightwards.

If an object is moving downwards, then its velocity is described as being downwards. Note that speed has no direction it is a scalar and the velocity at any instant is simply the speed value with a direction.

Calculating Average Speed and Average Velocity As an object moves, it often undergoes changes in speed. For example, during an average trip to school, there are many changes in speed. The instantaneous speed is the speed of an object at a particular moment in time. And if you include the direction with that speed, you get the instantaneous velocity.

In other words, eight meters per second to the right was the instantaneously velocity of this person at that particular moment in time.

Note that this is different from the average velocity. If your home was 1, meters away from school and it took you a total of seconds to get there, your average velocity would be five meters per second, which doesn't necessarily equal the instantaneous velocities at particular points on your trip.

In other words, let's say you jogged 60 meters in a time of 15 seconds. During this time you were speeding up and slowing down and changing your speed at every moment. Regardless of the speeding up or slowing down that took place during this path, your average velocity's still just gonna be four meters per second to the right; or, if you like, positive four meters per second.

Say you wanted to know the instantaneous velocity at a particular point in time during this trip. In that case, you'd wanna find a smaller displacement over a shorter time interval that's centered at that point where you're trying to find the instantaneous velocity.

This would give you a better value for the instantaneous velocity but it still wouldn't be perfect.