Question

QUESTION 16 The position of an object is given by $\vec{r} = (4.0t^2 + 10.0t + 10.0)\hat{i} + (3.0t^2 + 6.0t + 8.0)\hat{j} + (2.0t^2 + 4.0t + 6.0)\hat{k}$. Where the position is in meters and time is in seconds. Determine the magnitude of the acceleration at time t = 5.0 s 13 m/s² 18 m/s² 11 m/s² 8.4 m/s²

          QUESTION 16
The position of an object is given by
$\vec{r} = (4.0t^2 + 10.0t + 10.0)\hat{i} + (3.0t^2 + 6.0t + 8.0)\hat{j} + (2.0t^2 + 4.0t + 6.0)\hat{k}$.
Where the position is in meters and time is in seconds. Determine the magnitude of the acceleration
at time t = 5.0 s
13 m/s²
18 m/s²
11 m/s²
8.4 m/s²
        
Show more…
QUESTION 16
The position of an object is given by
r⃗ = (4.0t^2 + 10.0t + 10.0)î + (3.0t^2 + 6.0t + 8.0)ĵ + (2.0t^2 + 4.0t + 6.0)k̂.
Where the position is in meters and time is in seconds. Determine the magnitude of the acceleration
at time t = 5.0 s
13 m/s²
18 m/s²
11 m/s²
8.4 m/s²

Added by Christopher Z.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
QUESTION 16 The position of an object is given by vec(r)=(4.0t^(2)+10.0t+10.0)hat(i)+(3.0t^(2)+6.0t+8.0)hat(j)+(2.0t^(2)+4.0t+6.0)hat(k). Where the position is in rineters and time is in seconds. Determine the magnitude of the acceleration at time t=5.0s 13(m)/(s^(2)) 18(m)/(s^(2)) 11(m)/(s^(2)) 8.4(m)/(s^(2)) QUESTION 16 The position of an object is given by =(4.0t2+10.0t+10.0+3.0t2+6.0t+8.0+(2.0+4.0t+6.0 Where the position is in meters and time is in seconds. Determine the magnitude of the acceleration at timet=5.0s O13 m/s2 O18 m/s2 O11m/s2 O8.4m/s2
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Jennifer Stoner
Danielle Fairburn verified

Gregory Devenport and 89 other subject Physics 103 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

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
question-15-the-position-of-an-object-as-a-function-of-time-is-given-byxt-at3-_-bt2-ct-where-4lm-s3-b22-ms2c17ms-find-the-instantaneous-acceleration-at-t07-s-a-13-ms2-b29-ms2-c46-ms-d-13-ms2-17706

The position of an object as a function of time is given by x(t) = at^3 - bt^2 + ct where a = 4.1 m/s^3, b = 2.2 m/s^2, and c = 1.7 m/s. Find the instantaneous acceleration at t = 0.7 s. A. -13 m/s^2 B. 2.9 m/s^2 C. 4.6 m/s^2 D. 13 m/s^2

Gregory D.

question-4-the-position-of-an-object-is-given-by-the-function-below-rit-bm-175m83-t81-4ms-t216-what-is-the-magnitude-and-direction-of-the-instantaneous-acceleration-at-t15s-answer-177ms2-269-67938

The position of an object is given by the function below: r(t) = [3m + 1.75m/s^3 * t^3]x̂ + [4m/s^2 * t^2]ŷ. What is the magnitude and direction of the instantaneous acceleration at t=1.5s? (Answer: 17.7m/s^2, 26.9 NofE)

Khoobchandra A.

3-the-position-of-an-object-is-given-by-x-at3-bt2-ct-where-4-ms3b-22-ms2-c-17-ms-and-x-and-t-are-in-sl-units-what-is-the-instantaneous-acceleration-of-the-object-when-t-07s-23196

The position of an object is given by x = at3 - bt2 + ct, where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7 m/s, and x and t are in SI units. What is the instantaneous acceleration of the object when t = 0.7 s?

Mahendra K.


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,455 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,337 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,860 solutions

*

Transcript

-
00:01 The position of an object as a function of time is given by x of t equals a, which is just a constant times t cubed, minus b times t squared, plus c times t, we're given the values for a, b, and c.
00:19 And we want to know what is the instantaneous acceleration at time equals 0 .7 seconds.
00:33 Seven seconds.
00:34 Well, how are we going to find acceleration based on position? we take a derivative, right? so we take a derivative to get velocity...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever