Call Now to Set Up Tutoring:

(888) 888-0446

AP Physics C: Mechanics : Understanding Accelerations

Study concepts, example questions & explanations for AP Physics C: Mechanics

Create An Account

All AP Physics C: Mechanics Resources

2 Diagnostic Tests 92 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #12 : Mechanics Exam

a(t)=6t^2

A car undergoes acceleration according to the given function. What distance has the car traveled after three seconds?

Possible Answers:

24m

60m

48.5m

54m

40.5m

Correct answer:

40.5m

Explanation:

We can determine the velocity by taking the second integral of acceleration for the time interval of 0s to 3s.

$\int a(t)dt = v(t)$

$\int_{0}^{3}\int a(t)dt^2 = x(3) - x(0)$

Solve for the first integral.

$\int_{0}^{3}\int a(t)dt^2 =\int_{0}^{3}(6t^2)\int dt^2=\int_{0}^{3}(2t^3)dt$

Solve for the second integral, using the time interval.

$\int_{0}^{3}(2t^3)dt = \frac{(3)^4}{2}-\frac{(0)^4}{2} = \frac{81}{2} = 40.5m$

Report an Error

Example Question #13 : Mechanics Exam

a(t)=6t^2

A car undergoes acceleration according to the given function. How fast is the car moving after four seconds?

Possible Answers:

$144\frac{m}{s}$

$48\frac{m}{s}$

$81\frac{m}{s}$

$64\frac{m}{s}$

$128\frac{m}{s}$

Correct answer:

$128\frac{m}{s}$

Explanation:

We can find the car's velocity by taking the integral of the acceleration function during the given time interval.

$v(t) = \int a(t)\,dt$

$v(4) = \int_{0}^{4} a(t)\,dt = \int_{0}^{4} (6t^2)\,dt$

Solve the integral for the time interval of 0s to 4s. This will give us the final velocity.

$\int_{0}^{4} (6t^2)\,dt = 2(4)^3+2(0)^3 = 128\ \frac{m}{s}$

Report an Error

Example Question #14 : Mechanics Exam

a(t)=6t^2

A car undergoes acceleration according to the given function. If the threshold for serious injury or fatality for a human undergoing horizontal acceleration is 60 gees (1 gee = 10 meters per second per second), how long would a human be able to withstand riding in this car?

Possible Answers:

100s

25s

10s

60s

Correct answer:

10s

Explanation:

Calculate the maximum acceration in meters per second.

$a(t) = 6t^2 = 60\ gees = 600\ \frac{m}{s^2}$

Solve for the time.

$a(t)=6t^2=600\frac{m}{s^2}$

100 = t^2

$t = 10\ s$

Report an Error

Example Question #4 : Understanding Accelerations

A ball travels with a velocity as described by the function below:

v(t) = 5

What is the ball's acceleration?

Possible Answers:

$0\frac{m}{s^2}$

$1\frac{m}{s^2}$

$-5 \frac{m}{s^2}$

$5 \frac{m}{s^2}$

$-1 \frac{m}{s^2}$

Correct answer:

$0\frac{m}{s^2}$

Explanation:

Acceleration is equal to the derivative of the velocity function.

$a(t) = \frac{dv(t)}{dt}$

Since the velocity is constant, the derivative will be equal to zero.

$\frac{d}{dt}(5) = 0$

The acceleration is equal to zero.

Report an Error

View Tutors

Patricia
Certified Tutor

Southern Illinois University Edwardsville, Bachelor of Science, Elementary School Teaching. Southern Illinois University Edwa...

View Tutors

Siddharth
Certified Tutor

University of Petroleum and Energy Studies and, Masters in Business Administration, Aviation Management.

View Tutors

Mudassara
Certified Tutor

CUNY College of Staten Island, Master of Arts, Business Administration and Management.

All AP Physics C: Mechanics Resources

2 Diagnostic Tests 92 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Chicago, Spanish Tutors in Houston, Calculus Tutors in Boston, LSAT Tutors in Atlanta, French Tutors in Philadelphia, French Tutors in Atlanta, ISEE Tutors in Miami, Calculus Tutors in Chicago, LSAT Tutors in San Francisco-Bay Area, ISEE Tutors in Los Angeles

Popular Courses & Classes

GMAT Courses & Classes in Denver, Spanish Courses & Classes in Chicago, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Phoenix, GRE Courses & Classes in Washington DC, SSAT Courses & Classes in San Diego, ACT Courses & Classes in Washington DC, GRE Courses & Classes in Phoenix, LSAT Courses & Classes in Denver, LSAT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Houston, GRE Test Prep in Los Angeles, SAT Test Prep in Los Angeles, GRE Test Prep in Philadelphia, MCAT Test Prep in San Diego, SAT Test Prep in San Diego, ACT Test Prep in San Diego, GMAT Test Prep in San Diego, GMAT Test Prep in Denver, ACT Test Prep in Washington DC

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

AP Physics C: Mechanics : Understanding Accelerations

Study concepts, example questions & explanations for AP Physics C: Mechanics

All AP Physics C: Mechanics Resources

Example Questions

Example Question #12 : Mechanics Exam

Example Question #13 : Mechanics Exam

Example Question #14 : Mechanics Exam

Example Question #4 : Understanding Accelerations

All AP Physics C: Mechanics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: