Created on: September 11, 2008

Website Address: https://library.curriki.org/oer/Motion-in-Two-Dimensions--Practice-Problems

TABLE OF CONTENTS

- Indoor Cannon Practice Problem
- Force Vector Addition Practice Problems
- Kinematics in Two Dimensions Practice Problem
- Projectile Motion I Practice Problem
- Law of Addition of Velocities and Gravitational Slingshot Practice Problems
- Roller-coaster Practice Problem
- Projectiles and Parabolic Orbits Practice Problems
- Projectile Motion II Practice Problem
- Second Law and Projectile Motion Practice Problem
- Triangle Inequality Practice Problem
- Orthogonality Practice Problem
- Perpendicular Unit Vectors Practice Problem
- 3D Kinematics Practice Problem

Teachers and students can use these practice problems and solutions to help reinforce what's been covered.

**This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection.**

Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Stanley Kowalski, 8.01 Physics I, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. George Stephans, 8.01L Physics I: Classical Mechanics, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. Kate Scholberg, 8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Gabriella Sciolla, 8.022 Electricity and Magnetism, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. Gunther Roland, 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans, 8. 8.02T Physics (Electricity and Magnetism) Labs, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

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Physics I Practice Problem 7 (and its solution) covers maximizing distance for cannon to shoot when constrained by ceiling. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01 Physics I, Fall 2003Instructor: Prof. Stanley Kowalski Prof. Stanley Kowalski, 8.01 Physics I, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problems 1 and 2 (solutions not included) cover determining what conditions must apply for force vectors to add up to zero. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01L Physics I: Classical Mechanics, Fall 2005Instructor: Dr. George Stephans Dr. George Stephans, 8.01L Physics I: Classical Mechanics, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problems 1 and 2 (solutions not included) cover velocity and acceleration of projectile motion. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01L Physics I: Classical Mechanics, Fall 2005Instructor: Dr. George Stephans Dr. George Stephans, 8.01L Physics I: Classical Mechanics, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problems 2 and 3 (and their solutions) cover throwing a stone down a hill and hitting a bucket. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problem 7 and 8 (and their solutions) cover velocities in relatively inertial reference frames; and acceleration in relatively inertial reference frames. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problem 8 (solution not included) covers the speed and acceleration of a cart on a roller-coaster. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problems 1 through 4 (solutions not included) cover the projectile motion of two objects; the magnitude and direction of velocity for a parabolic orbit; the motion of a stone thrown at a falling person; and the speed and acceleration at the apex of projectile's path. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problem 3 (and its solution) covers the motion of a fielder running to catch a softball. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I Practice Problem 4 (and its solution) covers the motion of an object sliding off an inclined roof and falling to the ground. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01T Physics I, Fall 2004Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problem 6 (and its solution) covers finding maximum distance between two towns. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01 Physics I: Classical Mechanics, Fall 1999Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problem 7 (and its solution) covers finding a parameter that makes two vectors orthogonal. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01 Physics I: Classical Mechanics, Fall 1999Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problem 9 (and its solution) covers finding two unit vectors perpendicular to two given vectors. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01 Physics I: Classical Mechanics, Fall 1999Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics I: Classical Mechanics Practice Problem 10 (and its solution) covers finding v, |v|, a. This resource is part of the MIT OpenCourseWare - AP Physics - Kinematics collection. Course: 8.01 Physics I: Classical Mechanics, Fall 1999Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode