Unit 2- Particle Moving at Constant Velocity


Alignment with KY Program of Studies: Constant Velocity

Unit II Objectives: Know the definitions of position, displacement, distance, velocity and speed and how to use these definitions to find values for these quantities.  "The Physics Classroom" This is nice set of physics notes.  If you are having trouble understanding the terminology check here.  http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/1DKinTOC.html

For help understanding position versus time and velocity versus time graphs check here: http://dev.physicslab.org/DocumentPrint.aspx?doctype=3&filename=Kinematics_ComparingSTandVT.xml

1. You should be able to determine the average velocity of an object in two ways:

a. determining the slope of an x vs t graph.

b. using the equation

Should be able to find average speed both algebraically and graphically

2. You should be able to determine the displacement of an object in two ways:

a. finding the area under a v vs t graph.

b. using the equation 

displacement=vt 

3. Given an x vs t graph, you should be able to:

a. describe the motion of the object (starting position, direction of motion, velocity)

b. draw the corresponding v vs t graph

c. draw a motion map for the object  Given a motion map be able to determine the x vs t graph.

d. determine the average velocity of the object (slope).

e. write the mathematical model which describes the motion.

4. Given a v vs t graph, you should be able to:

a. describe the motion of the object (direction of motion, how fast)

b. draw the corresponding x vs t graph

c. determine the displacement of the object (area under curve).

d. draw a motion map for the object.  Given a motion map be able to determine the v vs t graph.

e. write a mathematical model to describe the motion.

5. Given a written description of motion be able to determine the x vs t graph and v vs t graph.

6.  Be able to solve complex constant velocity problems using:

a.  velocity vs time graphs (area under curve equals displacement). Example-  Earthquake problem.

b.  intersections of position vs time graphs (use y-y1 =  m (x-x1) to write equations for lines), Example- You chasing your parents problem. Solving Problems Power Point

c.  Use basic algebra and to solve problems.  Example - How fast do you have to drive for one leg of the trip to get a certain average

Additional Study Hints:

Textbook:  Newtonian Physics, Chapter 2: Velocity and Relative Motion  

Read the Kinematics Sections 1, 2, and 6 of the physics hypertextbook http://hypertextbook.com/physics/mechanics/

Look over all the old worksheets and quizzes.

Make up a x vs t graph and see if you can draw the v vs t graph.

Get together with your lab partners and review.

Look over the KET physics companion http://www.dl.ket.org/physics/companion/ThePC/compan/kine-vel/index.htm

Practice Vocabulary


Animations

(from Multimedia Physics Studios: http://www.glenbrook.k12.il.us/gbssci/phys/mmedia/index.html)

Observe the two cars below. The blue car starts "ahead of" the red car (which actually starts "off the screen"). Since the red car is moving faster, it eventually catches up with and passes the blue car. Observe the velocity-time graphs for these two cars. Each car's motion is represented by a horizontal line, indicating a constant velocity. Observe that even though the cars pass each other, the lines on the velocity-time graphs do not intersect. Since the cars never have the same velocity, the lines on the velocity-time graph never cross. The lines would intersect for a position vs. time graph; the fact that the red car passes the blue car means that there is an instant in which they occupy the same position. The two cars have the same position at seven seconds; yet they never have the same velocity at any instant in time.

Animation of two cars with v-t Graphs  

 


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