- #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.
step1536 said:Homework Equations
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.
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.
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.
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.
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.