Question

$\mathrm{A}$ particle moves according to the equation $x=10 t^{2}$, where $x$ is in meters and $t$ is in scconds. (a) Find the average velocity for the time interval from $2.00 \mathrm{~s}$ to $3.00 \mathrm{~s}$. (b) Find the average velocity for the time interval from 2.00 to $2.10 \mathrm{~s}$

Name: Problem 2, Chapter 2: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2022-09-26T19:24:54-08:00
Channel: Gregory Devenport
Description: A particle moves according to the equation x=10 t^2, where x is in meters and t is in scconds. (a) Find the average velocity for the time interval from 2.00 s to 3.00 s. (b) Find the average velocity for the time interval from 2.00 to 2.10 s

   $\mathrm{A}$ particle moves according to the equation $x=10 t^{2}$, where $x$ is in meters and $t$ is in scconds. (a) Find the average velocity for the time interval from $2.00 \mathrm{~s}$ to $3.00 \mathrm{~s}$. (b) Find the average velocity for the time interval from 2.00 to $2.10 \mathrm{~s}$

Physics for Scientists and Engineers with Modern Physics

Raymond A. Serway,… 10th Edition

Chapter 2, Problem 2

Instant Answer

Solved by Expert Gregory Devenport

09/26/2022

Step 1

Step 1: The average velocity is given by the formula: \[v_{avg} = \frac{x_{f} - x_{i}}{t_{f} - t_{i}}\] where $x_{f}$ and $x_{i}$ are the final and initial positions respectively, and $t_{f}$ and $t_{i}$ are the final and initial times respectively. Show more…

Show all steps

Thanks for your feedback!

$\mathrm{A}$ particle moves according to the equation $x=10 t^{2}$, where $x$ is in meters and $t$ is in scconds. (a) Find the average velocity for the time interval from $2.00 \mathrm{~s}$ to $3.00 \mathrm{~s}$. (b) Find the average velocity for the time interval from 2.00 to $2.10 \mathrm{~s}$

Play audio

Feedback

Gregory Devenport and 80 other subject Physics 101 Mechanics 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

Average Velocity

Average velocity is defined as the total displacement divided by the total time elapsed. It is a basic concept in kinematics that provides a measure of how quickly a particle's position changes over a specified time interval, regardless of the path taken.

Displacement

Displacement refers to the change in position of an object, calculated as the difference between its final and initial positions. It is a vector quantity, meaning it has both magnitude and direction, and forms the numerator in the calculation of average velocity.

Position Function

The position function describes the location of an object as a function of time. In kinematics, it provides essential information about the motion of a particle, and can be used to derive other quantities such as displacement, velocity, and acceleration through differentiation or by evaluating differences over time intervals.

Please give Ace some feedback