Unit 1: Constant Velocity Model (CVM)
Objectives of the unit:
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 of the line from the x vs t graph
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 of the area (or solve out the scientific equation from the x vs t graph)
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 (optional).
d. determine the average velocity of the object (slope).
e. write the mathematical model which describes the motion in y=mx + b format.
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 (optional).
e. write a mathematical model to describe the motion.
Terms and Definitions:
Average Velocity = Slope of x-t graph =
Change in Position= xf - xi
Change in Time tf - ti
Dx = change in position = xf - xi = displacement = area under v-t graph. Displacement is the straight line distance between the starting point and the ending point. Displacement also reports the direction of motion.
Distance = total distance traveled along a path to get from the starting postition to the ending position. Think of this as an odometer or pedometer reading.
Distance along path
Average Speed = Change in Time
Scalar = A Quantity that tells "how much" only i.e. speed, time, mass, odometer reading . . .
Vector = A quantity that tells how much and which direction i.e. velocity, displacement, force . . .
Qualitative = Conceptually correct, but not numerically precise
Quantitative = Numerically Accurate
Graphing two sets of data on the same graph
using Logger Pro. This is done using a Mac but it is the same for a PC
Minds on Physics Record Page
KC 1-3, KG 1, 2, and 4
Unit 1 Moodle
Click link above to get to the tutorials for 1D Kinematics
Lesson 1: c, d, thought a and b are good background info.
Lesson 3: all (ignore acceleration for Unit 1)
Lesson 4: all (ignore acceleration for Unit 1)
Name That Motion- Only complete Animations 3, 5, and 7
Match That Graph and Graph that Motion are excellent but they do get into acceleration which we're ignoring for right now. Proceed with these at your own risk.
Complete #2, 3, 9, 13,
31 parts 1, 2, and 5
32 parts 1 and 2
Unit 1 Study Guide