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29 Cards in this Set

  • Front
  • Back
1st in Scientific Reasoning
purpose or question
2nd in Scientific Reasoning
form a hypothesis
3rd in Scientific Reasoning
identify variables
4th in Scientific Reasoning
design a procedure
-materials and instruments
-how data is collected
-collection of data
5th in Scientific Reasoning
Analysis and evaluation of data
-average data if necessary
-graph if appropriate
-transform graph if necessary
-produce mathematical model
6th in Scientific Reasoning
-mathematical model
-importance of numerical results
-statement of relationship b/w variables
Position time graph is linear
acceleration = 0
equation of motion
x= vt + x-not
explaination of uniform motion
time vs. position
position changes uniformly with time; position and time are proportional
slope or average velocity in uniform motion
delta x over delta t
the motion map for uniform motion is...
objects position changes uniformly; positions at regular time intervals are evenly spaced
motion map of a fast car vs a slow car
fast car: dots are farther apart
slow car: dots are closer together
why? the fast car travels more distance at each time interval than the slow car
general form of the equation of a line:
transforming data: Upward opening parabola
square values of the independent variable
y=mx^2+b shows:
-m is the slope of the transformed graph and proportionality constant of original curve
-y is proportional to the square of x
Transforming data: Sideways opening parabola
square values of dependent variable
y^2=mx+b shows...
square of y is proportional to the x
Transforming curve: curve part faces both the x and y axis
inverse curve: plot invers values of x variable:
Def. of Instananeous velocity
is the velocity an object has at any given instant.
best way to find instant. velocity
find the average velocity for a very short distance and time interval
describe the graph of time vs. velocity
some objects change with velocity proportional to time
mathematical model for time vs. velocity
average acceleration
of time vs. velocity (slope)
a= delta v over delta t
time vs. velocity and position vs. time
when plotting the same data of time vs. velocity, for position vs. time, the result will be a curve (upward opening)
position vs. time graph
position is proportional to the square of time
equation of position vs. time
x=1/2at^2 or x=v-not *t +1/2at^2
interpretation of position vs. time graph of non-uniform motion
position of the object changes faster than time changes
motion map of position vs. time graph
start closer together than get farther apart
relation between velocity vs. position
v^2=2ax +v-not^2