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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
Conclusion
-mathematical model
-importance of numerical results
-statement of relationship b/w variables
Position time graph is linear
acceleration...
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
why?
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:
y=mx+b
transforming data: Upward opening parabola
square values of the independent variable
y=mx^2+b
y=mx^2+b shows:
y...
m...
-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
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:
y=m*1/x
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
v=at+v-not
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