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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 + xnot


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+vnot


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=vnot *t +1/2at^2


interpretation of position vs. time graph of nonuniform 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 +vnot^2
