This problem has been solved

100% free to try

Question

Are the statements true or false? Give an explanation for your answer. If an object moves with the same average velocity over every time interval, then its average velocity equals its instantaneous velocity at any time.

Name: Problem 42, Chapter 2: Calculus Single Variable
Uploaded: 2021-04-27T00:12:21-08:00
Duration: 1 min 1 s
Channel: Suzanne W.
Description: Are the statements true or false? Give an explanation for your answer. If an object moves with the same average velocity over every time interval, then its average velocity equals its instantaneous velocity at any time.

   Are the statements true or false? Give an explanation for your answer.
If an object moves with the same average velocity over every time interval, then its average velocity equals its instantaneous velocity at any time.

Calculus Single Variable

Deborah… 7th Edition

Chapter 2, Problem 42

Instant Answer

Solved by Expert Suzanne W.

04/27/2021

Step 1

Average velocity is the total displacement divided by the total time taken. On the other hand, instantaneous velocity is the velocity of an object at a particular point in time. Show more…

Show all steps

Thanks for your feedback!

Are the statements true or false? Give an explanation for your answer. If an object moves with the same average velocity over every time interval, then its average velocity equals its instantaneous velocity at any time.

Play audio

Feedback

Suzanne W. and 64 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Motion

Uniform motion describes a situation where an object moves with constant velocity, meaning that its speed and direction remain unchanged over time. This condition implies that the average velocity calculated over any interval is the same as the instantaneous velocity at any moment, due to the absence of acceleration.

Average Velocity

Average velocity is defined as the total displacement divided by the total time elapsed. It provides a measure of the overall change in position over a specified time interval, regardless of variations that may occur during that interval.

Instantaneous Velocity

Instantaneous velocity is the velocity of an object at a particular moment in time. It is determined by taking the derivative of the position with respect to time, which gives the exact rate of change of position at that instant.

Please give Ace some feedback