How to find the average speed?Very simple!It is necessary to divide all the way to the time that the object is in the path of motion.To put it differently, it is possible to determine the average rate of the average of all the speed of the object.But there are some nuances in solving problems of this area.
For example, to calculate the average speed of a given version of the problem: the traveler first walked at a speed of 4 km per hour for an hour.Then the trucks "picked" him, and the rest of the way he drove in 15 minutes.And the car was going at a speed of 60 kilometers per hour.How to determine the average speed of the traveler?
Do not just add 4 km and 60 and divide them in half, it would be the wrong course of solutions!It passed way on foot and by car we do not know.So, first you need to calculate all the way.
first part of the path is easy to find: 4 kph X 1 hour = 4 km
In the second part of the way a little problem: the speed is expressed in hours, and the movement - in minutes.This nuance is often prevents the correct answer when asked any questions, find the average speed, path, or time.
express 15 minutes hours.For this 15 minutes: 60 minutes = 0.25 hour.Now let's calculate what is the way the traveler has done on a ride?
60 km / h X = 15 km 0,25ch
now find all the way to overcome the traveler will not be difficult: 15 km + 4 km = 19 km.
time traffic is also fairly easy to calculate.It's 1:00 0.25 hours = 1.25 hours.
And now it is clear how to find the average speed: it is necessary to divide all the way to the time that the traveler spent to overcome it.That is, 19 km: 1.25 h = 15.2 km / h.
There is an anecdote in the subject.A man hurrying to the train station, ask the owner of the field: "Can I go to the station through your site?I'm a little late and would like to slash your way passing directly.Then I definitely have time to train, which leaves at 16 hours and 45 minutes! "-" Of course, you can cut your way, going through my meadow!And if you notice, my bull there, you will have time even on the train, which leaves at 16 hours and 15 minutes. "
This comical situation, meanwhile, has a direct relationship to the mathematical concept such as the average speed.After all, potential passengers trying to cut their way for the simple reason that he knows the average speed of their movement, for example, 5 km per hour.And pedestrians, knowing that the workaround on the paved road is equal to 7.5 km by performing simple calculations mentally understands that it will take to the road and a half hour (7.5 km: 5 km / h = 1.5 h).
he came out of the house too late, limited in time, and therefore decides to cut its way.
And here we come to the first rule that dictates how to find the average speed: given the direct distance between the outermost points of the path or trajectory is proschityvaya movement.From the foregoing, it is clear: the calculation should be carried out, taking into account the trajectory of the way it is.
shorten the route, but without changing its average speed, the object represented by a pedestrian receives a prize in time.The farmer is assuming an average speed of fleeing from a furious bull, "sprinter", also makes simple calculations and displays the result.
Motorists often use second, important, normally calculate the average speed, which relates to the time spent in transit.It concerns the question of how to find the average speed if the object is on the way stop.
In this embodiment, usually, if there is no further elaboration, to calculate the total time taken, including stops.Therefore, the driver of a car can say that his average speed on the open road in the morning is much higher than the average speed of traffic in the rush hour, though the speedometer shows the same number in both cases.
Knowing these figures, the driver never experienced and do not be late, pre-guess what is his average speed of movement in the city at different times of day.
