Two-Dimensional Motion

 

Goals

After completion of this module students will be able to:

1.   Observe two-dimensional motion at work

2.   Identify the major terms and equations involved in two-dimensional motion

3.   Apply their knowledge of two-dimensional motion to the completion of problems.

4.   Test their knowledge of two-dimensional in a real life situation.

 

Introduction

One of the great things about physics is that it is around us all the time.  We are constantly experiencing physics on a number of levels.  When you woke up this morning you probably hopped out of bed (or fell out of bed for those us who are not morning people).  Then you walked to the kitchen and had breakfast before running around trying to get ready.  Then you probably had to run to catch the bus and then run again so you wouldn’t be late for your all important physics class.  In that short time you experienced physics in an enormous amount.

          Throughout this module we will be discussing a type of physics known as motion, and more specifically two-dimensional motion.  Two-dimensional motion can easily been seen in throwing a football or baseball, hitting a golf ball, throwing something off of a building, and an incredible amount of other situations.  Our goal in learning about two-dimensional motion is to be able to apply it in solving a variety of different problems.  Also, the concepts involved here are critical because they will stay with you throughout the rest of the year.  The simple laws and equations that go along with motion are the basis for everything to come.

To access the reading assignment for this lesson click on the picture below and it will link you to the reading.  Read every section thoroughly and make sure that you understand every part of it.  If you have any problems or trouble, don’t hesitate to ask me or someone nearby for help.  While reading through the following section, think about the different types of two-dimensional motion that you have observed or experienced and then be prepared to discuss some of these motions.  Also, be prepared to answer questions and solve problems later using your newly acquired knowledge of two-dimensional motion.

 

 

types of projectiles diagram

 

Activity

While reading through the section it is important to ensure that you are getting the most out of the assignment.  Take the time to look at all the animations and attempt to answer the questions within the reading.

Reading science text can be a very difficult task because it is unlike the reading you do for any other type of text.  You want to make sure that you are focusing on the important aspects and are able to pull out any major terms and equations, while developing a strong understanding of them.

After reading the section, we must now determine whether you really know your stuff or not.  There are two assessments involved with this module.  The first is simply to solve problems involving two-dimensional motion.  The second is a little more interesting and fun.  For this assignment you will be in groups of two.

 

Assessment

Part One

Click on the picture below, which will link you to a list of problems involving two-dimensional motion.  Answer all nine of the problems.  For each problem include a picture, a list of known quantities and unknowns, and work through the mathematical aspect of each problem before coming up with an answer.  If you turn in just the answer it will be marked wrong, whether the answer is right or not.  Your answers will be turned in on loose-leaf paper on the assigned date.  Late work will be accepted, but will be penalized.  The entire assessment will be worth thirty points or three points per problem.  The problems will be graded as follows:

 

1st point: Picture or diagram plus list of quantities

2nd point: Use of legitimate equations and algebraic functions to work through

the problem

3rd point: Correct answer

 

Part Two

For the second part of the assessment you will be working in groups to solve a real life physics problem.  Using the following measurements, you will determine at precisely which angle to fire a balloon out of a catapult in order to hit a target.

Horizontal distance: 50 yards

Initial velocity: 25 m/s

Final vertical height: 6 feet

What makes this assignment even more interesting and fun is that the target will be me.  I will be standing fifty yards away and you have one shot to hit me.

 

The grading scale for this assignment is in two parts and is worth fifty points.  The first part is worth thirty points and involves your written work and explanation for why you plan to fire the balloon at the angle you decide.  The rubric for this assignment will be the same as the problems in the first part on an amplified scale.

The second part of the grade involves whether your physics is right or not, which means if you are able to hit me with the balloon.  Since I am a nice guy, I will give you a little leeway with the second part.  On the ground around me will be a giant target.  The closer you get to me the more points you get.  There will be three sections with the first section being worth five points and then increasing by five with every section closer until the full twenty points for making contact with me.

 

 

Bibliography

The Physics Classroom

http://www.physicsclassroom.com/Class/vectors/U3L2a.html

University of Oregon

http://zebu.uoregon.edu/~probs/mech/ndkin.html