We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

AP Physics C: Mechanics : Calculating Motion in Two Dimensions

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 #1 : Calculating Motion In Two Dimensions

A $\small 200g$ ball is thrown horizontally from the top of a $\small 40m$ high building. It has an initial velocity of $\small 14\frac{m}{s}$ and lands on the ground $\small 40m$ away from the base of the building. Assuming air resistance is negligible, which of the following changes would cause the range of this projectile to increase?

I. Increasing the initial horizontal velocity

II. Decreasing the mass of the ball

III. Throwing the ball from an identical building on the moon

Possible Answers:

I, II, and III

I only

I and III

II only

I and II

Correct answer:

I and III

Explanation:

Relevant equations:

$y_f - y_o = v_{oy}t +\frac{1}{2}a_yt^2$

$R_x = v_{ox}t$

Choice I is true because $v_{ox}$ is proportional to the range R_x , so increasing $v_{ox}$ increases R_x if $\small t$ is constant. This relationship is given by the equation:

$R_x = v_{ox}t$

Choice II is false because the motion of a projectile is independent of mass.

Choice III is true because the vertical acceleration on the moon a_y would be less. Decreasing a_y increases the time the ball is in the air, thereby increasing R_x if $v_{ox}$ is constant. This relationship is also shown in the equation:

$R_x = v_{ox}t$

Report an Error

Example Question #1 : Calculating Motion In Two Dimensions

Water emerges horizontally from a hole in a tank $1.5\:m$ above the ground. If the water hits the ground $2.1\: m$ from the base of the tank, at what speed is the water emerging from the hole? (Hint: Treat the water droplets as projectiles.)

Possible Answers:

$5.60\:\uptext{m/s}$

$3.8\:\uptext{m/s}$

$4.34\:\uptext{m/s}$

$4.88\:\uptext{m/s}$

$5.13\:\uptext{m/s}$

Correct answer:

$3.8\:\uptext{m/s}$

Explanation:

To understand this problem, we have to understand that the water has a x-velocity and a y-veloctiy. The x-velocity never changes.

First we want to find the time it took for the water to hit the ground. We can use this equation: $d_y = v_0t + \frac{1}{2}at^2$

We know that the y-velocity is 0 to start with, acceleration is $9.8\:m/s^2$ and $d_y=1.5\:m$ .

Substituting into the equation, we get:

$1.5 = \frac{1}{2}(9.8)t^2\\ \\ t = \sqrt{\frac{1.5}{0.5\cdot9.8}}, t = 0.55\:\uptext{s}$

Next we have to substitute the time into the equation for the x component

d_x = v_x t

We know that $dx = 2.1\:m$ and $t= 0.55\:s$ , so we can conclude that:

$v_x = \frac{2.1}{0.55} = 3.80\:m/s$

Report an Error

View Tutors

Alice
Certified Tutor

Bridgewater College, Bachelor in Arts, English. Longwood University, Certificate, Teacher Education, Multiple Levels.

View Tutors

Sumit
Certified Tutor

KIMS, Master's/Graduate, Management.

View Tutors

Smitkumar
Certified Tutor

University of Calgary, Bachelor, Computer Science.

All AP Physics C: Mechanics Resources

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

Popular Subjects

SAT Tutors in Miami, SAT Tutors in Dallas Fort Worth, Reading Tutors in New York City, Physics Tutors in Denver, GMAT Tutors in San Diego, Calculus Tutors in Los Angeles, Reading Tutors in Denver, ACT Tutors in Phoenix, Biology Tutors in Miami, SAT Tutors in Boston

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, SAT Courses & Classes in San Diego, ACT Courses & Classes in Phoenix, GMAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Boston, GRE Courses & Classes in Boston, GRE Courses & Classes in Chicago, ACT Courses & Classes in Houston, LSAT Courses & Classes in Philadelphia

Popular Test Prep

GMAT Test Prep in Houston, MCAT Test Prep in Dallas Fort Worth, SAT Test Prep in Philadelphia, ACT Test Prep in Boston, GMAT Test Prep in San Diego, ACT Test Prep in Philadelphia, SAT Test Prep in San Diego, SSAT Test Prep in San Diego, LSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Houston

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 : Calculating Motion in Two Dimensions

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

All AP Physics C: Mechanics Resources

Example Questions

Example Question #1 : Calculating Motion In Two Dimensions

Example Question #1 : Calculating Motion In Two Dimensions

All AP Physics C: Mechanics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: