Average Velocity over intervals

In summary, average velocity over intervals is the average rate of change in an object's position over a specific time period. It is calculated by dividing the change in position by the change in time using the formula: average velocity = (final position - initial position) / (final time - initial time). This concept is different from instantaneous velocity, which only describes an object's velocity at a single moment in time. Average velocity is important in science as it helps describe motion and is used in various fields such as physics and mechanics. Real-life examples of average velocity over intervals include calculating the speed of a car during a road trip, or studying the movement of animals or fluids.
  • #1
step1536
19
0


An arrow is shoot up in the air at 50m/s. Its height in meters after t sec. is h=50t-0.36t^2. Find the average velocity over interval [1,1.03], four decimal places.
 
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  • #2
step1536 said:

Homework Equations


this may help (if I remember it correctly)

[tex]F(x)_{average}=\frac{1}{b-a} \int_{a} ^{b} f(x) dx[/tex]
 
  • #3
I think this is a simple secant problem where you find the average rate of change between the two points (1, h(1)) and (1.03, h(1.03)) and not the average value of the function.
 
  • #4
Thanks alot. I knew that but I wanted to make sure.
 

What is average velocity over intervals?

Average velocity over intervals is the measure of the average rate at which an object changes its position over a specific time interval. It takes into account both the distance traveled and the time taken to calculate the average speed of an object.

How is average velocity over intervals calculated?

The formula for average velocity over intervals is: average velocity = (final position - initial position) / (final time - initial time). This means that the average velocity is equal to the change in position divided by the change in time.

What is the difference between average velocity and instantaneous velocity?

Average velocity is the overall velocity of an object over a given time interval, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity takes into account the entire journey of an object, while instantaneous velocity only describes its velocity at a single point.

Why is average velocity over intervals important in science?

Average velocity over intervals is important in science because it is used to describe the motion of objects and is a fundamental concept in physics. It allows scientists to calculate the speed of an object and understand how it changes over time, which is essential in many scientific fields such as mechanics, kinematics, and thermodynamics.

What are some real-life examples of average velocity over intervals?

Some real-life examples of average velocity over intervals include calculating the average speed of a car during a road trip, determining the average velocity of a person walking from one point to another, or finding the average velocity of a rollercoaster during a ride. It can also be used to study the movement of animals or the flow of fluids in pipes.

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