Q. 9 9. 聽A particle moving in the x ... [FREE SOLUTION]

Chapter 4: Q. 9 (page 106)

9. A particle moving in the x y plane $\overset{鈫�}{v} = (2 t \hat{i} + (3 鈭� t^{2}) \hat{j}) m / s$
Here t is in s. What is the particle's acceleration vector at $t = 4 s$ ?

Short Answer

Expert verified

The acceleration vector of the particle at is $(2 \hat{i} 鈭� 8 \hat{j}) m / s^{2}$

Step by step solution

Step 1. Given information

The velocity vector of the particle moving in the x-y plane is $\overset{鈫�}{v} = (2 t \hat{i} + (3 鈭� t^{2}) \hat{j}) m / s$ and the time instant is .

$t = 4 s$

Step 2. Explanation

The acceleration vector of the particle is,

$\overset{鈫�}{a} = \frac{d}{d t} (\overset{鈫�}{v})$

$\overset{鈫�}{a} = \frac{d}{d t} ((2 \hat{i} + (3 鈭� t^{2}) \hat{j}) m / s)$

For t = 4s

The acceleration vector of the particle is

$\begin{array}{l} \overset{鈫�}{a} = (2 \hat{i} 鈭� 2 (4 s) \hat{j}) m / s^{2} \\ = (2 \hat{i} 鈭� 8 \hat{j}) m / s^{2} \end{array}$

Therefore, the acceleration vector of the particle is $(2 \hat{i} 鈭� 8 \hat{j}) m / s^{2}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

9. A particle moving in the x y plane $\overset{鈫�}{v} = (2 t \hat{i} + (3 鈭� t^{2}) \hat{j}) m / s$
Here t is in s. What is the particle's acceleration vector at $t = 4 s$ ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Engineering Physics

Thermodynamics

Atoms and Radioactivity

Energy Physics

Astrophysics

Physical Quantities And Units

Study anywhere. Anytime. Across all devices.

91影视

9. A particle moving in the x y planev鈫�=2ti^+3鈭�t2j^m/sHere t is in s. What is the particle's acceleration vector at t=4s?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Engineering Physics

Thermodynamics

Atoms and Radioactivity

Energy Physics

Astrophysics

Physical Quantities And Units

Study anywhere. Anytime. Across all devices.

9. A particle moving in the x y plane $\overset{鈫�}{v} = (2 t \hat{i} + (3 鈭� t^{2}) \hat{j}) m / s$
Here t is in s. What is the particle's acceleration vector at $t = 4 s$ ?