‘d’ denotes distance; ‘t’ denotes time. ∆ is a Greek symbol used to denote the difference
You have the following data from scooter ride about the distance and time taken to complete the journey:
Ride starts
Ride ends
Time t0 (minute)
Distance, d0 (km)
Time t1 (minute)
Distance d1 (km)
0
0
15
6
Table 3.2: Scooter Ride
What was the total distance covered during the ride?
Total distance covered, ∆d = d1 - d0
= 6 - 0 km
= 6 km
What was the time taken to cover this distance?
Time taken to cover this distance, ∆t = t 1 - t 0
= 15-0 minutes
= 15 minutes
To calculate the average speed, we divide the total distance covered by the total time taken for the journey.
Speed, v = Total distance covered / time taken to cover this distance
\(v = {\Delta d \over \Delta t}\)
\( = {6~km \over 15~minutes}\)
\( = \) 0.4 km / minute
What does this number tell us?
The instantaneous speed of the scooter was changing throughout the 6 km journey. You know now that that the cooter took 15 minutes to cover this journey.
What you get now, after calculating these two numbers is that, if the rider would go on with the constant speed of 0.4 km/minute, he would hvae covered the same distance ( 6 km) in the same time (15 minute). this speed is called the Average speed.
The average speed of an object gives us a rough idea about how fast or slow an object is traveling. It helps us to estimate or predict the future trends of the motion, which we often do on the daily basis.
The Average Speed helps us to estimate future trends of the motion.
Let us take another example to understand what an average speed is. The distance to a nearby town is 60km. A bus takes two hours to cover the distance. We can use the motion equation to find out that the average speed of the bus is 30km/hour. Knowing the average speed of the bus, we can now safely assume that it will take us two hours to reach the town. Of course, sometimes it may take a little more time if the bus halts many times along the route. Or it may take less time if the driver drives faster than 30km/hour.
We can calculate the average of any quantity which is similar, such as the average weight, height or age of students in a class.
[Contributed by administrator on 10. Januar 2018 21:47:05]
Average Speed
‘d’ denotes distance; ‘t’ denotes time. ∆ is a Greek symbol used to denote the difference
You have the following data from scooter ride about the distance and time taken to complete the journey:
Distance, d0 (km)
Time t1 (minute)
Distance d1 (km)
0
15
6
Table 3.2: Scooter Ride
Total distance covered, ∆d = d1 - d0
= 6 - 0 km
= 6 km
Time taken to cover this distance, ∆t = t 1 - t 0
= 15-0 minutes
= 15 minutes
To calculate the average speed, we divide the total distance covered by the total time taken for the journey.
Speed, v = Total distance covered / time taken to cover this distance
\(v = {\Delta d \over \Delta t}\)
\( = {6~km \over 15~minutes}\)
\( = \) 0.4 km / minute
What does this number tell us?
The instantaneous speed of the scooter was changing throughout the 6 km journey. You know now that that the cooter took 15 minutes to cover this journey.
What you get now, after calculating these two numbers is that, if the rider would go on with the constant speed of 0.4 km/minute, he would hvae covered the same distance ( 6 km) in the same time (15 minute). this speed is called the Average speed.
The average speed of an object gives us a rough idea about how fast or slow an object is traveling. It helps us to estimate or predict the future trends of the motion, which we often do on the daily basis.
The Average Speed helps us to estimate future trends of the motion.
Let us take another example to understand what an average speed is. The distance to a nearby town is 60km. A bus takes two hours to cover the distance. We can use the motion equation to find out that the average speed of the bus is 30km/hour. Knowing the average speed of the bus, we can now safely assume that it will take us two hours to reach the town. Of course, sometimes it may take a little more time if the bus halts many times along the route. Or it may take less time if the driver drives faster than 30km/hour.
We can calculate the average of any quantity which is similar, such as the average weight, height or age of students in a class.