Call Now to Set Up Tutoring:

(888) 888-0446

High School Physics : Understanding Motion with Constant Acceleration

Study concepts, example questions & explanations for High School Physics

Create An Account

All High School Physics Resources

6 Diagnostic Tests 233 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Understanding Motion With Constant Acceleration

A ball rolls to a stop after 4.2s . If it had a starting velocity of $8.1\frac{m}{s}$ , what is the deceleration on the ball due to friction?

Possible Answers:

$3.9\frac{m}{s^2}$

$-4.2\frac{m}{s^2}$

$6.93\frac{m}{s^2}$

$-1.93\frac{m}{s^2}$

$-0.526\frac{m}{s^2}$

Correct answer:

$-1.93\frac{m}{s^2}$

Explanation:

We are given the initial velocity, time, and final velocity (zero because the ball stops). Using these values and the appropriate motion equation, we can solve for the acceleration.

Acceleration is given by the change in velocity over time:

$a=\frac{v_2-v_1}{t}$

We can use our values to solve for the acceleration.

$a=\frac{0\frac{m}{s}-8.1\frac{m}{s}}{4.2s}$

$a=\frac{-8.1\frac{m}{s}}{4.2s}$

$a=-1.93\frac{m}{s^2}$

Report an Error

Example Question #1 : Understanding Motion With Constant Acceleration

An object starts moving with a velocity, . If it accelerates in such a way so that the velocity doubles every second, what will be the velocity after ?

Possible Answers:

Correct answer:

Explanation:

If the velocity doubles every second, and it starts with a velocity of , then after it would have a velocity of:

2*v=2v

After it would have a velocity of:

2*2v=4v

After it would have a velocity of:

2*4v=8v

Report an Error

Example Question #1 : Understanding Motion With Constant Acceleration

A ball is dropped off of a cliff with an initial velocity of $0\frac{m}{s}$ . If it is in the air for seconds, what will be its final velocity as it hits the ground?

Possible Answers:

(g)(s)

We need to know the mass of the ball in order to solve

We need to know the height of the cliff in order to solve

(g)(s)^2

$\frac{g}{s}$

Correct answer:

(g)(s)

Explanation:

The basic formula for final velocity is:

v_f=v_i+at

Since the ball starts at rest, we can simplify the equation by removing the initial velocity.

v_f=at

Since the acceleration on the ball will be the acceleration due to gravity, , and the time will be , as per the problem, we can insert these variables into the equation to get our answer.

v_f=(g)(s)

Report an Error

Example Question #3 : Understanding Motion With Constant Acceleration

A box slides along the floor. If it starts with a velocity of $2\frac{m}{s}$ , has a final velocity of $6\frac{m}{s}$ , and has been sliding for , what is the average acceleration of the box?

Possible Answers:

$16\frac{m}{s^2}$

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

$8\frac{m}{s^2}$

$4\frac{m}{s^2}$

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

Correct answer:

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

Explanation:

Acceleration is the change in velocity over the change in time.

$a=\frac{\Delta v}{\Delta t}=\frac{v_f-v_i}{\Delta t}$

We are given the initial and final velocities, as well as the change in time. We can use these values to calculate the acceleration.

$a=\frac{6\frac{m}{s}-2\frac{m}{s}}{4s}$

$a=\frac{4\frac{m}{s}}{4s}$

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

Report an Error

Example Question #202 : High School Physics

A baseball leaves a pitcher's hand at $41\frac{m}{s}$ . When it crosses home plate 0.24s later, it is moving at $40.22\frac{m}{s}$ . What is the deceleration due to air resistance?

Possible Answers:

$-0.308\frac{m}{s^2}$

$-0.78\frac{m}{s^2}$

$-0.187\frac{m}{s^2}$

$-3.25\frac{m}{s^2}$

$-0.54\frac{m}{s^2}$

Correct answer:

$-3.25\frac{m}{s^2}$

Explanation:

For this question, we will need to use the acceleration formula:

$a=\frac{\Delta v}{\Delta t}=\frac{v_2-v_1}{\Delta t}$

We are given the initial velocity, final velocity, and time. Using these values in the equation, we can solve for the acceleration.

$a=\frac{40.22\frac{m}{s}-41\frac{m}{s}}{0.24s}$

$a=\frac{-0.78\frac{m}{s}}{0.24s}$

$a=-3.25\frac{m}{s^2}$

Note that the acceleration is negative, showing that the ball is slowing down, or decelerating.

Report an Error

Example Question #4 : Understanding Motion With Constant Acceleration

What is the final velocity of a car that starts from rest and accelerates at $3.1\frac{m}{s^2}$ for 12s ?

Possible Answers:

$3.87\frac{m}{s}$

$115.32\frac{m}{s}$

$1.25\frac{m}{s}$

$15.1\frac{m}{s}$

$37.2\frac{m}{s}$

Correct answer:

$37.2\frac{m}{s}$

Explanation:

To solve this problem use the equation:

$v_f=v_i+a\Delta t$

We are given the acceleration and time, and we can assume the initial velocity is zero since the car starts from rest. Use these values to solve for the final velocity.

$v_f=0\frac{m}{s}+(3.1\frac{m}{s^2})(12s)$

$v_f=37.2\frac{m}{s}$

Report an Error

Example Question #5 : Understanding Motion With Constant Acceleration

A car starts at rest and accelerates at a constant rate of $0.88\frac{m}{s^2}$ . What is its velocity after 31s ?

Possible Answers:

$27.28\frac{m}{s}$

$31.88\frac{m}{s}$

$35.23\frac{m}{s}$

$62.88\frac{m}{s}$

$272\frac{m}{s}$

Correct answer:

$27.28\frac{m}{s}$

Explanation:

Acceleration is equal to a change in velocity divided by a change in time.

$a=\frac{\Delta v}{\Delta t}$ .

Since the car starts at rest, the initial velocity is zero. We know the acceleration and the change in time. Using these values, we can solve for the final velocity.

We can plug in our given values and solve:

$a=\frac{\Delta v}{\Delta t}=\frac{v_f-v_i}{\Delta t}$

$0.88\frac{m}{s^2}=\frac{v_f-0\frac{m}{s}}{31s}$

$(31s)(0.88\frac{m}{s^2})=v_f-0\frac{m}s{}$

$27.28\frac{m}{s}=v_f$

Report an Error

Example Question #1 : Understanding Motion With Constant Acceleration

A car starts from rest, speeds up with constant acceleration and travels 100m in 5s. What is the final velocity and the acceleration of the car?

Possible Answers:

$V_{f}=32\frac{m}{s};a=6.7\frac{m}{s^2}$

$V_{f}=24\frac{m}{s};a=8\frac{m}{s^2}$

$V_{f}=50\frac{m}{s};a=10\frac{m}{s^2}$

$V_{f}=40\frac{m}{s};a=8\frac{m}{s^2}$

$V_{f}=25\frac{m}{s};a=15\frac{m}{s^2}$

Correct answer:

$V_{f}=40\frac{m}{s};a=8\frac{m}{s^2}$

Explanation:

The easiest way to approach this problem is find the average velocity, multiply by 2 because the car started from rest, and then divide the final velocity by time to get the acceleration.

Average velocity:

$V_{avg}=\frac{d}{t}=\frac{100m}{5s}=20\frac{m}{s}$

Final velocity:

The final velocity is $40\frac{m}{s}$ because the car started from rest. This is evident from the equation for average velocity if we solve for final velocity:

$V_{avg}=\frac{V_{0}+V_{f}}{2}$

$V_0=2V_{avg}-V_f$

$V_0=2*40-40=40\frac{m}{s}$

Acceleration:

$a=\frac{V_0-V_f}{t}=\frac{40\frac{m}{s}}{5s}=8\frac{m}{s^2}$

Report an Error

View Tutors

Anjali
Certified Tutor

Delhi University, Bachelor of Science, Physics. Kumuan University, Master of Science, Physics.

View Tutors

Pankaj
Certified Tutor

University of Delhi, Electrical Engineer, Electrical Engineering. Columbia University in the City of New York, Master of Arts...

View Tutors

Bhavana
Certified Tutor

Indian Institute of Science Education and Research, Tirupati, Master's/Graduate, Physics and biology .

All High School Physics Resources

6 Diagnostic Tests 233 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Philadelphia, Computer Science Tutors in San Francisco-Bay Area, Math Tutors in San Diego, LSAT Tutors in San Francisco-Bay Area, GRE Tutors in Phoenix, Statistics Tutors in Boston, Spanish Tutors in Seattle, GMAT Tutors in Dallas Fort Worth, ACT Tutors in New York City, SAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, Spanish Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Denver, ISEE Courses & Classes in Houston, SSAT Courses & Classes in Seattle, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Houston, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in New York City, ACT Test Prep in New York City, LSAT Test Prep in Houston, GRE Test Prep in Houston, ISEE Test Prep in San Diego, GMAT Test Prep in Houston, GRE Test Prep in Seattle, ISEE Test Prep in Miami, LSAT Test Prep in Denver, LSAT Test Prep in Los Angeles

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

High School Physics : Understanding Motion with Constant Acceleration

Study concepts, example questions & explanations for High School Physics

All High School Physics Resources

Example Questions

Example Question #1 : Understanding Motion With Constant Acceleration

Example Question #1 : Understanding Motion With Constant Acceleration

Example Question #1 : Understanding Motion With Constant Acceleration

Example Question #3 : Understanding Motion With Constant Acceleration

Example Question #202 : High School Physics

Example Question #4 : Understanding Motion With Constant Acceleration

Example Question #5 : Understanding Motion With Constant Acceleration

Example Question #1 : Understanding Motion With Constant Acceleration

All High School Physics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: