To be pedantic...
In a car with a digital speedometer, speed is NOT instantaneous in the sense that it is a measure of distance per unit time. It does this by measuring a change in distance over a very short period of time to *approximate* the instantaneous speed. If the time period is a small fraction of a second you wouldn't know the difference!
For older cars with analog speedometers the speed is instantaneous as it directly translates the speed at which your wheels are turning.
Instantaneous speed is, essentially, instant speed. An example sentence would be: The Camaro's instantaneous speed surprised most of the watchers.
Instantaneous speed is speed at any instant in time.
If I drive away from my house at 8:00 in the morning and return at 6:00 PM that same evening with 50 more miles showing on the car, you know immediately that my average speed for the day was 5 mph. But you don't know a thing about how much of that time I was stopped, how much in motion, or what my speed was at any moment between 8 and 6, because there's no necessary relationship between instantaneous and average speed. I guess it's probably true to say that there has to be some instant during any period of time when the instantaneous speed must be equal to the average speed during the same period. That sounds like a nice theorem, and its proof ought to be good for some mathematical recreation, but it doesn't seem too useful.
When you need to know the exact speed at an exact time.
In a car, the speedometer measured Instantaneous speed. This comes from the assumption that the car does not slow down and speed up fast enough for the speedometer to be able to give an average of the changing speed.
If I drive away from my house at 8:00 in the morning and return at 6:00 PM that same evening with 50 more miles showing on the car, you know immediately that my average speed for the day was 5 mph. But you don't know a thing about how much of that time I was stopped, how much in motion, or what my speed was at any moment between 8 and 6, because there's no necessary relationship between instantaneous and average speed. I guess it's probably true to say that there has to be some instant during any period of time when the instantaneous speed must be equal to the average speed during the same period. That sounds like a nice theorem, and its proof ought to be good for some mathematical recreation, but it doesn't seem too useful.
Depends on your year, and likely the spedometer is reacting to a fault in the speed contoller, or fault with spedometer cable. What code(s) do you pull with testing? My 2000 E250 has an issue with the individual wheel speed sensor, causes abs light to come on and stay on, but no issues with spedometer, however if yours is newer (digital odometer, sounds newer), follow the cable from the spedometer to the speed controller, and it's bracket, check connections, or resistance in ohms. Try another question at the ford truck forum, once you know the codes. Good luck with it. Mac in DC
Because when you look at the speedometer it is telling you your speed at that particular instant in time, it changes from instant to instant.
Either acceleration, average speed, direction, or instantaneous speed.
If the spedometer is not working and the traansmision will not shift out of second it means the speed sensor is bad, unpluged or the wiring for it is damaged. The shif6ts are controled by the ECM (computer) and if does not know the speed of the car, it will not shift.
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...
To know the speed of an object you have to know the distance travelled and the time it took to travel that distance