At a certain time a particle had a speed of 18 m / s in the positive x direction, and 2.4 s la

Name: Problem 19, Chapter 2: Fundamentals of Physics
Uploaded: 2019-12-04T20:48:32-08:00
Duration: 57 s
Channel: Averell Hause
Description: At a certain time a particle had a speed of 18 m / s in the positive x direction, and 2.4 s later its speed was 30 m / s in the opposite direction. What is the average acceleration of the particle during this 2.4 s interval?

step 1 So here we know the average velocity is going to be equaling to the change in the the average ac

Question

At a certain time a particle had a speed of $18 \mathrm{~m} / \mathrm{s}$ in the positive $x$ direction, and $2.4 \mathrm{~s}$ later its speed was $30 \mathrm{~m} / \mathrm{s}$ in the opposite direction. What is the average acceleration of the particle during this $2.4 \mathrm{~s}$ interval?

   At a certain time a particle had a speed of $18 \mathrm{~m} / \mathrm{s}$ in the positive $x$ direction, and $2.4 \mathrm{~s}$ later its speed was $30 \mathrm{~m} / \mathrm{s}$ in the opposite direction. What is the average acceleration of the particle during this $2.4 \mathrm{~s}$ interval?

Fundamentals of Physics

David Halliday,… 11th Edition

Chapter 2, Problem 19

Instant Answer

Solved by Expert Averell Hause

12/04/2019

Step 1

The initial velocity $ v_i $ is $ 18 \, \text{m/s} $ in the positive $ x $ direction. The final velocity $ v_f $ is $ 30 \, \text{m/s} $ in the opposite direction, which means it is $ -30 \, \text{m/s} $. Show more…

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At a certain time a particle had a speed of $18 \mathrm{~m} / \mathrm{s}$ in the positive $x$ direction, and $2.4 \mathrm{~s}$ later its speed was $30 \mathrm{~m} / \mathrm{s}$ in the opposite direction. What is the average acceleration of the particle during this $2.4 \mathrm{~s}$ interval?

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Key Concepts

Average Acceleration

Average acceleration is the rate at which an object's velocity changes over a specific time interval. It is calculated by dividing the change in velocity by the duration of the interval. This concept is crucial for understanding how motion evolves, especially when the object's speed or direction varies over time.

Vector Quantities and Direction

Velocity and acceleration are vector quantities, meaning they have both magnitude and direction. To analyze problems involving changes in motion, it is essential to account for direction using sign conventions. This ensures that changes in velocity, including reversals in direction, are properly quantified when calculating acceleration.

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